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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic field of moduli; stable reduction; Galois cover A. Obus, Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow, I, Algebra Number Theory 6 (2012), no. 5, 833--883. Coverings of curves, fundamental group, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Curves over finite and local fields, Galois theory Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic families of hyperplanes; logarithmic bundles Projective techniques in algebraic geometry On logarithmic bundles of \(\mathbb{P}^ n\) in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Morita p-adic gamma function; Dwork cohomology; p-adic analysis Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic theory, local fields, \(p\)-adic cohomology, crystalline cohomology, Special functions in characteristic \(p\) (gamma functions, etc.) A note on the \(p\)-adic gamma function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arrangement of hyperplane; rational function; Jeffrey-Kirwan residue M. Brion and M. Vergne, \textit{Arrangements of hyperplanes I: rational functions and Jeffrey-Kirwan residue}, math/9903178. Embedding of analytic spaces, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Arrangement of hyperplanes. I: Rational functions and Jeffrey-Kirwan residue | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic over function fields; arithmetic of algebraic curves; Mordell Weil theorem; Mordell conjecture Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves, Heights, Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Diophantine geometry on curves over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Azumaya algebra; Brauer group; noncommutative residue; pseudo differential symbol M. Wodzicki, Noncommutative residue. Chapter IV. Homology of algebras of differential operators and symbols , (in preparation). Noncommutative global analysis, noncommutative residues, Brauer groups (algebraic aspects), Positive characteristic ground fields in algebraic geometry, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), Noncommutative geometry (à la Connes) Algebras of \(p\)-symbols, noncommutative \(p\)-residue, and the Brauer group | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of isomorphism classes of principally polarized abelian varieties; complex multiplication; ideal class number; Jacobian varieties of compact Riemann surfaces Riera, G.; Rodríguez, Rubí E., Riemann surfaces and abelian varieties with an automorphism of prime order, Duke Math. J., 69, 199-217, (1993) Complex multiplication and abelian varieties, Riemann surfaces; Weierstrass points; gap sequences, Jacobians, Prym varieties Riemann surfaces and abelian varieties with an automorphism of prime order | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real function fields; real holomorphy ring; valuation rings; formally real residue field; regular projective model; rational point; real prime divisors; signatures of higher level; sums of n-th powers; Local-Global- Principle; weak isotropy; quadratic forms; Henselizations SCHÜLTING, H.W.: Prime divisors on real varieties and valuation theory. J. Alg.98, 499-514 (1986) Valued fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields, Real algebraic and real-analytic geometry, Valuations and their generalizations for commutative rings Prime divisors on real varieties and valuation theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate module; Galois representation; analogue of Falting's semi-simplicity theorem; Shafarevich-type finiteness result; isogenies of Drinfel'd modules; heights \textsc{R.~Dedekind}\textsc{and}\textsc{H.~Weber}, Theorie der algebraischen Functionen einer Veränderlichen, J. Reine Angew. Math. \textbf{92} (1882), 181-290. Drinfel'd modules; higher-dimensional motives, etc., Isogeny, Abelian varieties of dimension \(> 1\), Curves over finite and local fields Semi-simplicity of the Galois representations attached to Drinfeld modules over fields of ``infinite characteristics'' | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\lambda_g\)-conjecture; Hurwitz numbers; moduli spaces of curves I. P. Goulden, D. M. Jackson, and R. Vakil, A short proof of the \?_{\?}-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves, J. Reine Angew. Math. 637 (2009), 175 -- 191. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) A short proof of the \(\lambda_{g}\)-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic p-adic methods; Number theory; Algebraic geometry Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to number theory, Proceedings, conferences, collections, etc. pertaining to algebraic geometry \(p\)-adic methods in number theory and algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic closed ideal; Łojasiewicz ideal; Nullstellensatz; real radical; zero property Real-analytic and semi-analytic sets, Real-analytic functions, \(C^\infty\)-functions, quasi-analytic functions, Rings and algebras of continuous, differentiable or analytic functions, Sums of squares and representations by other particular quadratic forms, Real-analytic manifolds, real-analytic spaces A nullstellensatz for ideals of \(C^\infty\) functions in dimension 2 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brill-Noether theory; moduli space; variety parametrizing complete linear systems Steffen F.: A generalized principal ideal theorem with an application to Brill--Noether theory. Invent. Math. 132, 73--89 (1998) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves A generalized principal ideal theorem with an application to Brill-Noether theory | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system syzygies; free resolution of projective variety; complete linear system Green, M. L.; Lazarsfeld, R., Some results on the syzygies of finite sets and algebraic curves, \textit{Compos. Math.}, 67, 301-314, (1988) (Co)homology theory in algebraic geometry, Homological methods in commutative ring theory, Complete intersections Some results on the syzygies of finite sets and algebraic curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system zero-dimensional schemes; linear system of plane curves; free resolution of the ideal sheaves; homogeneous ideals; graded Betti numbers Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings Sharp bounds for the \(p\)-th module of syzygies of certain rotational surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hamburger-Noether matrices; equisingular deformations of curve singularities; infinitely near points; resolution procedure of a curve singularity; HN matrices; HN expansions; multiplicity sequence; HN deformations; Arf matrices; monoidal transformations Castellanos, J.: ''Hamburger-Noether matrices over rings'' J.P.P.A. 64 (1990) 7--19 Singularities of curves, local rings, Rational and birational maps, Formal methods and deformations in algebraic geometry, Infinitesimal methods in algebraic geometry, Equisingularity (topological and analytic), Local deformation theory, Artin approximation, etc. Hamburger-Noether matrices over rings | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Del Pezzo manifold; hyperplane section; polarized manifold; ample line bundle; discriminant locus; singular elements of the linear system; degeneracy loci; adjunction; nefness DOI: 10.1515/crll.1996.477.199 Divisors, linear systems, invertible sheaves, \(n\)-folds (\(n>4\)), Fano varieties On the discriminant locus of an ample and spanned line bundle. -- Appendix: On the nefness of the Chern classes of the first jet bundle | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system monodromy group of a branched covering; Hurwitz system; cellular decomposition; intersection matrix for the 1-cycles; homology basis; conformal self-mappings of Riemann surfaces; periods; quadratic periods; Abelian integrals; Klein-Hurwitz curve; Fermat curve; homogeneous linear differential equation Tretkoff, [Tretkoff and Tretkoff 84] C. L.; Tretkoff, M. D., Combinatorial group theory, Riemann surfaces and differential equations. contributions to group theory, 467--519, contemp. math., 33., \textit{Providence, RI: Amer. Math. Soc.}, (1984) Differentials on Riemann surfaces, Compact Riemann surfaces and uniformization, Coverings of curves, fundamental group, Low-dimensional topology of special (e.g., branched) coverings, Generators, relations, and presentations of groups, Transformation and reduction of ordinary differential equations and systems, normal forms, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Combinatorial group theory, Riemann surfaces and differential equations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic curves; conics; elliptic curves; projective geometry; polynomial rings; Bezout's theorem; intersection multiplicity; linear systems; inflection points; abelian varieties; local rings; Newton polygons; Puiseux expansion; Cremona transformation; singular points; resolution of singularities; Pücker formulas; differential forms; Riemann surfaces Brieskorn, Egbert and Knörrer, Horst, Plane algebraic curves, Modern Birkhäuser Classics, x+721, (1986), Birkhäuser/Springer Basel AG, Basel Research exposition (monographs, survey articles) pertaining to algebraic geometry, Curves in algebraic geometry, History of algebraic geometry, Singularities of curves, local rings, Compact Riemann surfaces and uniformization, Implicit function theorems; global Newton methods on manifolds, Projective analytic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), Algebraic functions and function fields in algebraic geometry Plane algebraic curves. Transl. from the German by John Stillwell | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of quadrics Projective analytic geometry, Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Sur le rang de la jacobienne des systèmes linéaires de quadriques. (On the rank of the Jacobian of linear systems of quadrics.) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic space; conic bundle surface; resolution of singularities; orders in quaternion algebras Singularities of surfaces or higher-dimensional varieties, General binary quadratic forms, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects) Arithmetical quadratic surfaces of genus 0. II | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system null-cones of representations; reductive groups; connected reductive linear algebraic groups; rational representations; diagonal actions; nilpotent elements; numbers of irreducible components; algorithms Representation theory for linear algebraic groups, Geometric invariant theory, Group actions on varieties or schemes (quotients) Counting components of the null-cone on tuples. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system parametric solutions; system of quadratic diophantine equations; rectangular parallelepiped; integral edges and face diagonals; intersection of three quadrics in five-dimensional projective space Bremner, A.: The rational cuboid and a quartic surface. Rocky mountain J. Math. 18, No. 1, 105-121 (1988) Quadratic and bilinear Diophantine equations, Special surfaces The rational cuboid and a quartic surface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Jacobian of a hyperplane section of a surface; endomorphisms of abelian varieties; Albanese variety; linear system Ciliberto, C., van~der Geer, G.: On the Jacobian of a hyperplane section of a surface. In: Classification of Irregular Varieties (Trento, 1990). Lecture Notes in Mathematics, vol. 1515, pp. 33-40, Springer, Berlin (1992) Jacobians, Prym varieties, Picard schemes, higher Jacobians, Divisors, linear systems, invertible sheaves On the Jacobian of a hyperplane section of a surface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system surface of general type; horizontal fixed component; horizontal fixed component of linear system; cotangent bundle; line bundle Serrano, F., The projectivised cotangent bundle of an algebraic surface, Arch. Math. (Basel), 65, 2, 168-175, (1995) Surfaces of general type, Vector bundles on surfaces and higher-dimensional varieties, and their moduli The projectivised cotangent bundle of an algebraic surface | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear systems of conics; dimension and base points of a linear system Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves On a property of conics | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic transformations of the real projective plane A. Degtyarev, Quadratic transformations RP2\toRP2, in: Topology of Real Algebraic Varieties and Related Topics, AMS Transl. Ser. 2, 173, Providence, 1996, pp. 61--71 Birational automorphisms, Cremona group and generalizations, Real algebraic and real-analytic geometry, Projective techniques in algebraic geometry Quadratic transformations \(\mathbb{R} \mathbb{P}^ 2 \to \mathbb{R} \mathbb{P}^ 2\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system entire transcendental function; measure of linear independence over imaginary quadratic field; Jacobi theta function P. Bundschuh and I. Shiokawa, ''A measure for the linear independence of certain numbers,'' Results Math. 7 (1984), 130--144. Transcendence (general theory), Approximation by numbers from a fixed field, Theta functions and abelian varieties A measure for the linear independence of certain numbers | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Coresolvents; integralization; rational function; entire function; algebraic function; differential quotient; multilinear solution; system of \(n\) homogeneous quadratic equations; unknowns; differential equations Algebraic functions and function fields in algebraic geometry, Real rational functions, Equations in general fields, Multilinear algebra, tensor calculus, Implicit ordinary differential equations, differential-algebraic equations, Research exposition (monographs, survey articles) pertaining to real functions, Continuity and differentiation questions Third Chapter on Coresolvents. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polar varieties; equidimensional varieties; singularities; stratifications; Whitney stratifications; Whitney conditions; tubular neighborhoods; tangent cones; limits of tangent spaces; conormal spaces; projective duality, multiplicity; Nash modifications; Plücker-type formulas; Todd's formulas; characteristic classes; Chern classes Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, History of several complex variables and analytic spaces, History of mathematics in the 20th century, History of mathematics in the 21st century, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Stratified sets, Germs of analytic sets, local parametrization, Characteristic classes and numbers in differential topology, Families, moduli of curves (analytic), Local complex singularities, Singularities in algebraic geometry, History of algebraic geometry Local polar varieties in the geometric study of singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system canonical ring of a non-hyperelliptic; minimal free resolution; 2-linear projective dimension; genus; Clifford index Eisenbud, D.: Green's conjecture: an orientation for algebraists, (Sundance, UT, 1990). Research Notes Mathematics, vol. 2, pp. 51-78. Jones and Bartlett, Boston, MA (1992) Curves in algebraic geometry, Homological dimension and commutative rings, Special algebraic curves and curves of low genus Green's conjecture: An orientation for algebraists | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system points in linear general position; property \((N_ p)\); minimal free resolution of the coordinate ring Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects) The Green-Lazarsfeld conjecture for \(n+4\) points in \(\mathbb{P}^ n_ k\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Orthogonal; linear; substitution; quadratic form; equation denoted by characteristic; symmetric; permutable; geometric representation; conic section; space of lines Linear transformations, semilinear transformations, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Automorphisms and endomorphisms of algebraic structures, Quadratic and bilinear forms, inner products, Equations in general fields, Homomorphism, automorphism and dualities in linear incidence geometry, Automorphisms of curves, Isometric theory of Banach spaces About orthogonal substitutions. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system affine algebraic varieties; linear algebraic groups; groups of rational points; Jordan decomposition; conjugacy classes; semi-simple elements Linear algebraic groups over arbitrary fields, Classical groups (algebro-geometric aspects) Geometric structure of conjugacy classes in algebraic groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system integral quadratic forms; integral points; Hasse principle; Brauer-Manin obstruction; spinor exceptions; homogeneous spaces of linear algebraic groups; Galois cohomology Jean-Louis Colliot-Thélène & Fei Xu, ``Brauer-Manin obstruction for integral points of homogeneous spaces and representations by integral quadratic forms'', Compos. Math.145 (2009) no. 2, p. 309-363 Varieties over global fields, Representation problems, Quadratic forms over global rings and fields, General ternary and quaternary quadratic forms; forms of more than two variables, Classical groups, Galois cohomology of linear algebraic groups, Global ground fields in algebraic geometry, Brauer groups of schemes, Linear algebraic groups over global fields and their integers Brauer-Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms. With an appendix by Dasheng Wei and Xu | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system powers of ideal; ideal of rational normal curve; linear resolution; Hilbert function; Hilbert polynomial DOI: 10.1016/S0022-4049(99)00146-2 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings, Linkage, complete intersections and determinantal ideals, Determinantal varieties, Curves in algebraic geometry Hilbert function and resolution of the powers of the ideal of the rational normal curve | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system adjoint linear system; generation of jets; Mumford regularity Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Divisors, linear systems, invertible sheaves, Sheaves in algebraic geometry On the simultaneous generation of jets of the adjoint bundles | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system space of rational maps; action of special linear group; discrete dynamical system; geometric invariant theory Silverman, Joseph H., The space of rational maps on \(\mathbb{P}^1\), Duke Math. J., 94, 1, 41-77, (1998) Geometric invariant theory, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Group actions on varieties or schemes (quotients), Rational and birational maps The space of rational maps on \(\mathbf P^1\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system pluricanonical maps; threefolds of general type; Kodaira dimension; canonical complete linear system; stable canonical map \(3\)-folds, Divisors, linear systems, invertible sheaves Stability of the pluricanonical maps of threefolds | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of plane curves Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves Regularity and irreducibility of linear systems of plane curves through points of \(\mathbb{P}^ 2\) in general position with prescribed multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Chow ring; trisecant locus; 2-spannedness of the linear system of hyperplane sections; Porteous formula Parametrization (Chow and Hilbert schemes), Enumerative problems (combinatorial problems) in algebraic geometry, (Equivariant) Chow groups and rings; motives Trisecant formulas for smooth projective varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of plane curves; singularities Singularities of curves, local rings, Plane and space curves An asymptotic existence theorem for plane curves with prescribed singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hypersurface isolated singularities; D-module; b-functions for holomorphic functions; holomorphic linear differential operators; rationality of b-functions; holonomic system; local monodromy T. Yano, ``\(b\)-functions and exponents of hypersurface isolated singularities'' in Singularities, Part 2 (Arcata, Calif., 1981) , Proc. Sympos. Pure Math. 40 , Amer. Math. Soc., Providence, 1983, 641--652. Local complex singularities, Differential forms in global analysis, Hyperfunctions, Holomorphic functions of several complex variables, Singularities of surfaces or higher-dimensional varieties b-functions and exponents of hypersurface isolated singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system general element of linear system; surface with Picard number equal to 1 DOI: 10.1007/BF02571348 Picard groups, Divisors, linear systems, invertible sheaves Picard numbers of surfaces in 3-dimensional weighted projective spaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Wahl maps; minimal free resolution of nonlinearly normal embedded curves; Gaussian maps; non complete linear systems --------, On the minimal free resolution of some projective curves , Ann. Mat. Pura Appl., Plane and space curves, Divisors, linear systems, invertible sheaves On the minimal free resolution of some projective curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system determinantal ideal; Gröbner basis; ideal of linear forms; Koszul algebra; linear resolution; polymatroidal ideal; primary decomposition; Rees algebra; regularity; toric deformation Bruns, Winfried; Conca, Aldo, Linear resolutions of powers and products. Singularities and computer algebra, 47-69, (2017), Springer, Cham Syzygies, resolutions, complexes and commutative rings, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Linkage, complete intersections and determinantal ideals, Polynomial rings and ideals; rings of integer-valued polynomials, Determinantal varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) Linear resolutions of powers and products | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system conical projection; \(L\)-transformation; homaloidal net of conics; involutory quadratic transformations Questions of classical algebraic geometry, Research exposition (monographs, survey articles) pertaining to geometry, Descriptive geometry, Birational automorphisms, Cremona group and generalizations, Geometric constructions in real or complex geometry Involutory quadratic transformations formulated in constructional geometry | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Littlewood-Richardson rule; double symmetric functions; equivariant Schubert classes; Grassmannians; quantum immanants; Schur functions; Littlewood-Richardson polynomials; combinatorics of puzzles; Casimir elements; general linear Lie algebra Alexander I. Molev, ``Littlewood-Richardson polynomials'', J. Algebra321 (2009) no. 11, p. 3450-3468 Symmetric functions and generalizations, Classical problems, Schubert calculus Littlewood-Richardson polynomials | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(\Delta\)-genus; polarized surfaces; linear system; finite base locus; rational map; desingularization of a quadric surface M. YOSHIOKA, Polarized surfaces of zl-genus 3 and degree 5, Tohoku Math. J. 44 (1992), 597-612 Special surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli, classification: algebraic theory Polarized surfaces of \(\Delta\)-genus 3 and degree 5 | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system root system; complete and discriminating invariant; semisimple monoids; linear representations; group of units L. Renner,Classification of semisimple algebraic monoids, Trans. Amer. Math. Soc. 292 (1985), 193--223. General structure theory for semigroups, Linear algebraic groups and related topics, Generalizations (algebraic spaces, stacks), Representation of semigroups; actions of semigroups on sets Classification of semisimple algebraic monoids | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Fano variety; Mori fibre space; birational map Rational and birational maps Effective results in the theory of birational rigidity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blocks; conjugacy classes; extension principle; finite monoids of Lie type; irreducible representations; linear algebraic monoids; modular representations; Morita equivalences; normal reductive monoids; Putcha lattices of cross-sections; representation theory; semisimple elements; solvable algebraic monoids Renner, L. E.: Representations and blocks of algebraic monoids, Fields inst. Commun. 40 (2004) Representation of semigroups; actions of semigroups on sets, Representation theory for linear algebraic groups, Homogeneous spaces and generalizations, Representations of finite groups of Lie type, Semigroups of transformations, relations, partitions, etc. Representations and blocks of algebraic monoids | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Moishezon threefold; fake cubic threefolds; compactifications of \(\mathbb{C}^ 3\); linear system Nakamura, J.: Moishezon threefolds homeomorphic to a cubic hypersurface in P4. J. algebraic geom. 5, 537-569 (1996) \(3\)-folds, Compactification of analytic spaces, Compact complex \(3\)-folds, Hypersurfaces and algebraic geometry, Families, moduli, classification: algebraic theory Moishezon threefolds homeomorphic to a cubic hypersurface in \(\mathbb{P}^ 4\) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system resolution of singularities; dual graph; Neumann-Wahl system Okuma, T.: Universal abelian covers of certain surface singularities. Math. Ann. 334, 753-773 (2006) Complex surface and hypersurface singularities, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Modifications; resolution of singularities (complex-analytic aspects) Universal abelian covers of certain surface singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system blowing-up an \(n\)-dimensional linear system; resolution; meromorphic foliation; formal power series ring Global theory and resolution of singularities (algebro-geometric aspects), Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Formal power series rings, Divisors, linear systems, invertible sheaves Linear systems of power series, pencils and associated foliations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Reflexive sheaf; reflexive module; locally free sheaf; resolution of singularity; quadratic transform Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Other special types of modules and ideals in commutative rings, Multiplicity theory and related topics Singularities of reflexive sheaves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system symbolic power; projective dimension; depth; asymptotic behavior; monomial ideal; integrally closed ideal; degree complex; local cohomology; Bertini-type theorem; system of linear Diophantine inequalities Dimension theory, depth, related commutative rings (catenary, etc.), Singularities in algebraic geometry Depth functions of symbolic powers of homogeneous ideals | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system real projective space; system of smooth submanifolds; algebraizability of a d-web; asymptotic quadratic forms M. A. Akivis, ''On a local condition for algebraizability of a system of subvarieties of a real projective space,'' Dokl. Akad. Nauk SSSR,272 (1983). Differential geometry of webs, Projective differential geometry, Varieties and morphisms, Questions of classical algebraic geometry, Projective techniques in algebraic geometry On a local condition for algebraizability of a system of submanifolds of real projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system base point free linear system; divisor; geometric genus; irregularity; minimial surface of general type P. FRANCIA, On the base points of the bicanonical system, Problems in the theory of surfaces and their classification (Cortona, 1988), pp. 141-150, Sympos. Math., XXXII, Academic Press, London, 1991. Zbl0828.14023 MR1273376 Surfaces of general type, Divisors, linear systems, invertible sheaves On the base points of the bicanonical system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system D-module; holonomic system; Weyl algebra; Gröbner basis; free resolution; calculation of de Rham cohomology groups; kan Oaku, T.; Takayama, N., Algorithms for \(D\)-modules--restriction, tensor product, localization, and local cohomology groups, J. Pure Appl. Algebra, 156, 267-308, (2001) Commutative rings of differential operators and their modules, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Effectivity, complexity and computational aspects of algebraic geometry, Sheaves of differential operators and their modules, \(D\)-modules, Local cohomology and algebraic geometry, Symbolic computation and algebraic computation Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system on complex manifold; linear system of Lefschetz type; cyclic branched covering; algebraic surfaces; homeomorphic but not diffeomorphic Moishezon, B.: Analogs of Lefschetz theorems for linear systems with isolated singularities. J. Diff. Geometry31 47--72 (1990) Special surfaces, Differentiable structures in differential topology, Homotopy theory and fundamental groups in algebraic geometry Analogs of Lefschetz theorems for linear systems with isolated singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system compatibility of a system of linear equations; R-module; determinantal ideals; Prüfer domains; Fitting ideals; determinantal submodules Linear equations (linear algebraic aspects), Dedekind, Prüfer, Krull and Mori rings and their generalizations, Determinantal varieties Some criteria for solvability of systems of linear equations over modules | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system finite subgroup of \(Sl(2,\mathbb{C})\); simple singularities; Dynkin diagram; homology of minimal resolution; root system; Cartan matrix; simple Lie group; McKay correspondence; Coxeter number Singularities in algebraic geometry, Representations of finite symmetric groups, Singularities of surfaces or higher-dimensional varieties, Local complex singularities, General properties and structure of complex Lie groups On finite groups associated to simple singularities | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system affine curve linebundle; quadratic potential; Neumann's system; Burchnall-Chaundy-Krichever theory; Lax equations; constants of motion Flaschka H.: Towards an algebro-geometric interpretation of the Neumann system. Tohoku Math. J. (2) 36(3), 407--426 (1984) Partial differential equations of mathematical physics and other areas of application, General topics in linear spectral theory for PDEs, Curves in algebraic geometry Towards an algebro-geometric interpretation of the Neumann system | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system hypersurface of compact complex manifold; defect of the topological Euler characteristic; linear system of divisors; multiplicity of the dual variety Parusiński A., Bull. London Math. Soc 23 pp 428-- (1991) Hypersurfaces and algebraic geometry, Duality theorems for analytic spaces, Divisors, linear systems, invertible sheaves Multiplicity of the dual variety | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system differentials of the first kind; quadratic transformations Algebraic functions and function fields in algebraic geometry On a point in the theory of abelian functions. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system invariants of plane curve singularities; Plücker formulas; wild vanishing cycles Nguyen, H.D.: Invariants of plane curve singularities, and Plücker formulas in positive characteristic. Annal. Inst. Fourier 66, 2047-2066 (2016) Singularities of curves, local rings, Singularities in algebraic geometry Invariants of plane curve singularities and Plücker formulas in positive characteristic | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system bound on dimension of linear system; divisor; Riemann-Roch problem Divisors, linear systems, invertible sheaves, Riemann-Roch theorems A sharper Riemann-Roch inequality for big, semi-ample divisors | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system weakly normal variety; WN1; theorem of Bertini; linear system; positive characteristic Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) Linear systems on weakly normal varieties (in positive characteristic) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear system of quadrics; Jacobian Divisors, linear systems, invertible sheaves, Special surfaces, Projective techniques in algebraic geometry, Projective analytic geometry A theorem on linear systems of irreducible quadrics of the first and second kind | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Hilbert scheme; Grassmannian degeneracy locus; webs of linear complexes; linear system; Palatini scroll; secant variety M. L. Fania, E. Mezzetti, On the Hilbert scheme of Palatini threefolds. \textit{Adv. Geom}. 2 (2002), 371-389. MR1940444 Zbl 1054.14052 \(3\)-folds, Parametrization (Chow and Hilbert schemes), Low codimension problems in algebraic geometry, Varieties of low degree, Adjunction problems On the Hilbert scheme of Palatini threefolds. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system modular transformation formulas; eighth root of unity; theta-functions; indefinite quadratic forms; spherical functions; factor of automorphy S. Friedberg. On theta functions associated to indefinite quadratic forms. Journal of number theory, 23:255--267, 1986. Theta series; Weil representation; theta correspondences, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Holomorphic modular forms of integral weight, Theta functions and abelian varieties On theta functions associated to indefinite quadratic forms | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system moduli spaces of half-canonical extremal curves; Castelnuovo inequality; Hilbert scheme of smooth curves of genus \(g\) and degree \(d\); linear system; rotationality of moduli space Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus, Parametrization (Chow and Hilbert schemes), Special divisors on curves (gonality, Brill-Noether theory), Rational and unirational varieties The rationality of certain moduli spaces associated to half-canonical extremal curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system computer aided geometric design; C(sup 1)-continuity; two-dimensional problems; one-dimensional elements; linear; quadratic; cubic Bernstein- Bezier representations; beam problem; linear and quadratic polynomials; triangles; bilinear and quadratic polynomials; parallelograms Luscher, M., On a relation between finite size effects and elastic scattering processes, () Finite element methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Curves in algebraic geometry, Surfaces and higher-dimensional varieties Die Bernstein-Bezier-Technik in der Methode der Finiten Elemente. (Bernstein-Bezier technique and the finite element method) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system kroneckerian dimension of fields; quadratic transformations; towers; pillars; dicritical divisors Abhyankar, S.S.: Pillars and towers of quadratic transformations. Proc. Am. Math. Soc. 139, 3067--3082 (2011) Relevant commutative algebra, Regular local rings, Valuation rings, Divisors, linear systems, invertible sheaves Pillars and towers of quadratic transformations | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system computer algebra; linear system; trigonal curves of genus five; vanishing sequence of the canonical line bundle Special algebraic curves and curves of low genus, Software, source code, etc. for problems pertaining to algebraic geometry Classicality of trigonal curves of genus five | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic forms; linear algebraic groups; history of mathematics History of number theory, Collected or selected works; reprintings or translations of classics, Forms and linear algebraic groups, Linear algebraic groups and related topics, Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Lattices Collected works. Edited by Ulf Rehmann and Yuri Tschinkel | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system completeness of linear system; projection; projective normal variety Meadows, D. L.: Dynamics of growth in a finite world. (1984) Divisors, linear systems, invertible sheaves, Determinantal varieties, Projective techniques in algebraic geometry, Rational and birational maps Linear systems cut out by quadric on projections of varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system semialgebraic functions; semialgebraic bundles; semialgebraic sections; linear equations; jets Semialgebraic sets and related spaces, Linear higher-order PDEs, Semi-analytic sets, subanalytic sets, and generalizations \(C^m\) semialgebraic sections over the plane | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system local cohomology; free resolution; syzygies; graded module over polynomial ring; Bertini classification; Linear parts of resolutions; Castelnuovo regularity; rings of minimal multiplicity; projective varieties of minimal degree \beginbarticle \bauthor\binitsD. \bsnmEisenbud and \bauthor\binitsS. \bsnmGoto, \batitleLinear free resolutions and minimal multiplicity, \bjtitleJ. Algebra \bvolume88 (\byear1984), page 89-\blpage133. \endbarticle \OrigBibText David Eisenbud and Shiro Goto, Linear free resolutions and minimal multiplicity . J. Algebra 88 (1984), 89-133. \endOrigBibText \bptokstructpyb \endbibitem Multiplicity theory and related topics, Determinantal varieties, Projective and free modules and ideals in commutative rings, Local cohomology and algebraic geometry, Polynomial rings and ideals; rings of integer-valued polynomials, Global theory and resolution of singularities (algebro-geometric aspects), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) Linear free resolutions and minimal multiplicity | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system complete intersections; Bertini theorems; upper bound for dimension of singular locus; integral variety; finite dimensional linear system; conical singularities Greco, S., Valabrega, P.: On the singular locus of general complete intersection through a variety in a projective space. Boll. Un. Mat. Ital., 2-D(6), 113--145 (1983) Singularities in algebraic geometry, Complete intersections, Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry On the singular locus of a general complete intersection through a variety in projective space | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system birational map; projective space; quadratic transformation; linear system Research exposition (monographs, survey articles) pertaining to algebraic geometry, Birational automorphisms, Cremona group and generalizations The Cremona group and its subgroups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear action of reductive algebraic group; stable points; 1-parameter subgroups; \(X^{sss}\); resolution of singularities Zinovy Reichstein, Stability and equivariant maps, Invent. Math. 96 (1989), no. 2, 349-383. Group actions on varieties or schemes (quotients), Global theory and resolution of singularities (algebro-geometric aspects) Stability and equivariant maps | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system categories of field extensions; essential dimension; \(G\)-torsors; connected linear algebraic groups; numbers of generators; equivariant resolutions of singularities; quadratic forms; orthogonal groups Chernousov V. and Serre J.-P. (2006). Lower bounds for essential dimensions via orthogonal representations. J. of Algebra 305: 1055--1070 Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients), Galois cohomology of linear algebraic groups, Cohomology theory for linear algebraic groups Lower bounds for essential dimensions via orthogonal representations. | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system IVHS; generic polarized Hodge structure; infinitesimal variation of Hodge structure; infinitesimal Schottky relations; moduli of curves; Gauss linear system; Jacobian system; Torelli theorem for cubic hypersurfaces James Carlson, Mark Green, Phillip Griffiths, and Joe Harris, Infinitesimal variations of Hodge structure. I, Compositio Math. 50 (1983), no. 2-3, 109 -- 205. Phillip Griffiths and Joe Harris, Infinitesimal variations of Hodge structure. II. An infinitesimal invariant of Hodge classes, Compositio Math. 50 (1983), no. 2-3, 207 -- 265. Phillip A. Griffiths, Infinitesimal variations of Hodge structure. III. Determinantal varieties and the infinitesimal invariant of normal functions, Compositio Math. 50 (1983), no. 2-3, 267 -- 324. Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, Transcendental methods of algebraic geometry (complex-analytic aspects), Algebraic moduli problems, moduli of vector bundles Infinitesimal variations of Hodge structure. I | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system polarized varieties; adjoint linear system; adjunction theory; projective normality of smooth projective surfaces G. M. Besana andS.DiRocco, On the projective normality of smooth surfaces of degree nine.Geom. Ded. 74 (1999), 1--21. Adjunction problems, Special surfaces On the projective normality of smooth surfaces of degree nine | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system algebraic surfaces of positive index; Chern numbers; Bogomolov-Miyaoka- Yau inequality; watershed conjecture; surface of general type; linear system; fundamental group B. Moishezon and M. Teicher, ''Simply-connected algebraic surfaces of positive index,'' Invent. Math., vol. 89, iss. 3, pp. 601-643, 1987. Topological properties in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Characteristic classes and numbers in differential topology, Coverings in algebraic geometry, Special surfaces Simply-connected algebraic surfaces of positive index | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system double point divisor; linear system; divisor of rational scroll Divisors, linear systems, invertible sheaves, Projective techniques in algebraic geometry Base-point-freeness of double-point divisors of smooth birational-divisors on conical rational scrolls | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quasirational surface singularity; node of plane curve; quadratic transformations Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Singularities in algebraic geometry On a question of Mumford | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system Kodaira divisor; smooth irreducible curve on a Del Pezzo surface; gonality; linear system; Clifford index; syzygies of curves Pareschi, G., Exceptional linear systems on curves on del Pezzo surfaces, Math. Ann., 291, 17-38, (1991) Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Fano varieties Exceptional linear systems on curves on Del Pezzo surfaces | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear Diophantine equations; quadratic Diophantine equations; multiplicative Diophantine equations; rational points; curves of genus \(0, 1, (>1)\); Runge theorem; Thue-Siegel theorems; p-adic method; representability of integers by binary quadratic forms Th. Skolem, Diophantische Gleichungen, Chelsea, 1950. Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Linear Diophantine equations, Quadratic and bilinear Diophantine equations, Cubic and quartic Diophantine equations, Multiplicative and norm form equations, Representation problems, Sums of squares and representations by other particular quadratic forms, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Diophantische Gleichungen | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system meromorphic matrix functions; complex vector bundles; closed Riemann surface of arbitrary genus; first-order pole-zero meromorphic \(r\times r\) matrix function interpolation problem; linear homogeneous system of equations Ball, J. A. and Clancey, K.: Interpolation with meromorphic matrix functions, Proc. Amer. Math. Soc. 121 (1994), 491-496. Linear operator methods in interpolation, moment and extension problems, Compact Riemann surfaces and uniformization Interpolation with meromorphic matrix functions | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system finite Coxeter system; Dunkl elements; coinvariant algebras of Coxeter groups; multiparameter deformation; quantized bracket algebras; quantum cohomology ring; flag variety Kirillov, A., Maeno, T.: Noncommutative algebras related with Schubert calculus on Coxeter groups. Eur. J. Comb. \textbf{25}, 1301-1325 (2004). Preprint RIMS-1437, 2003 Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Reflection and Coxeter groups (group-theoretic aspects) Noncommutative algebras related with Schubert calculus on Coxeter groups | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system central simple algebras; involution of orthogonal type; \(\sigma\)- symmetric elements; reduced norm; similitudes; quaternion algebras; discriminant extensions; Clifford algebras; algebras with involution; Clifford bimodules; Clifford groups; homogeneous varieties; semisimple linear algebraic groups; Brauer groups Merkurjev, A.; Tignol, J., The multipliers of similitudes and the Brauer group of homogeneous varieties, Journal für die Reine und Angewandte Mathematik, 461, 13-47, (1995) Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures, Brauer groups of schemes, Clifford algebras, spinors, Linear algebraic groups over arbitrary fields, Group actions on varieties or schemes (quotients) The multipliers of similitudes and the Brauer group of homogeneous varieties | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system linear codes; extendable codes; minimum weight; Diophantine system of equations Kohnert A.: (l, s)-extension of linear codes. Discret. Math. 309, 412--417 (2009) Linear codes (general theory), Applications to coding theory and cryptography of arithmetic geometry, Linear Diophantine equations, Algebraic coding theory; cryptography (number-theoretic aspects) \((l,s)\)-extension of linear codes | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system \(K3\) surface; number of curves in linear system Barth, W.; Verra, A., Torsion on \(K3\)-sections, Cortona, 1988, London \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Torsion on \(K3\)-sections (including a letter of M. L. Green) | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system degeneration of linear system; ramification points; limits of Weierstrass points; families of curves; limit linear systems Esteves, E, Linear systems and ramification points on reducible nodal curves, Mathematica Contemporanea, 14, 21-35, (1998) Divisors, linear systems, invertible sheaves, Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic) Linear systems and ramification points on reducible nodal curves | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system curve of genus three; complete linear system; intersection of quadrics; invertible sheaf; hyperelliptic curve Homma, M., Theorem of Enriques-Petri type for a very ample invertible sheaf on a curve of genus three, Math. Z., 183, 343-353, (1983) Families, moduli of curves (algebraic), Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus Theorem of Enriques-Petri type for a very ample invertible sheaf on a curve of genus three | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system fundamental points for a one-parameter system of n-dimensional linear subspaces; generalized biaxial space Projective analytic geometry, Questions of classical algebraic geometry, Projective techniques in algebraic geometry, Projective differential geometry Fundamental points for a one-parameter system of \(n\)-dimensional linear subspaces in the generalized biaxial space \(P^{n,n+1}_{2(n+1)}\) of even dimension | 0 |
resolution of linear system; quadratic transformations; Plücker formulas; equisingular elements Global theory and resolution of singularities (algebro-geometric aspects), Divisors, linear systems, invertible sheaves, Regular local rings, Equisingularity (topological and analytic) Plücker formula and the equisingularity set of a linear system quadratic transformations of regular local rings; valuation ring; proximity relation; proximity sequence; curve singularities Aparicio, J.; Granja, A.; Sánchez-Giralda, T.: On proximity relations for valuations dominating a two-dimensional local regular ring. Rev. mat. Iberoamericana 15, No. 3, 621-634 (1999) Regular local rings, Singularities of curves, local rings, Valuation rings On proximity relations for valuations dominating a two-dimensional regular local ring | 0 |
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