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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 Lefschetz-formula; equivariant algebraic \(K\)-theory; compact Lie group; smooth algebraic space; algebraic group scheme; Lefschetz-Riemann-Roch formula; Euler-Poincaré characteristic Thomason, R., Une formule de Lefschetz en K-théorie équivariante algébrique, Duke Math. J., 68, 447-462, (1992) \(K\)-theory of schemes, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Group actions on varieties or schemes (quotients), Equivariant \(K\)-theory, Riemann-Roch theorems, Geometric invariant theory A Lefschetz formula in equivariant algebraic \(K\)-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 linearizable group actions; geometric quotients; group actions; affine quadrics; linear model for a group given action; slice representations Group actions on varieties or schemes (quotients), Linear algebraic groups over adèles and other rings and schemes, Homogeneous spaces and generalizations Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists | 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 equivariant functions; divisorial filtrations; Poincaré series; plane curves Campillo, A., Delgado, F., Gusein-Zade, S.: On Poincaré series of filtrations on equivariant functions of two variables. Mosc. Math. J. 7(2), 243-255 (2007) Singularities in algebraic geometry, Filtered associative rings; filtrational and graded techniques, Actions of groups and semigroups; invariant theory (associative rings and algebras), Valuations and their generalizations for commutative rings, Singularities of curves, local rings On Poincaré series of filtrations on equivariant functions of two variables | 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 equisingular stratigication; planar ideals; Zariski topological space; families of smooth surfaces; Hilbert schemes [NV1]Nobile, A. \&Villamayor, O., Equisingular stratifications associated to families of planar ideals.J. Algebra, 193 (1997), 239--259. Relevant commutative algebra, Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli, classification: algebraic theory Equisingular stratifications associated to families of planar 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 rationality; log minimal model program Rationality questions in algebraic geometry, Minimal model program (Mori theory, extremal rays) An application of the canonical bundle formula | 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 holomorphic vectorfield; foliation; topological invariants of isolated singularities of holomorphic; functions; Milnor number; desingularization; algebraic multiplicity of a generalized curve; topological invariants of isolated singularities of holomorphic functions César Camacho, Alcides Lins Neto & Paulo Sad, ``Topological invariants and equidesingularization for holomorphic vector fields'', J. Differ. Geom.20 (1984) no. 1, p. 143-174 Complex singularities, Modifications; resolution of singularities (complex-analytic aspects), Deformations of complex singularities; vanishing cycles, Local complex singularities, Moduli, classification: analytic theory; relations with modular forms Topological invariants and equidesingularization for holomorphic vector fields | 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; normal sheaves of curves; line bundle 6. L. Ein, Normal sheaves of linear systems on curves, Contemp. Math.116 (1991) 9-18. genRefLink(16, 'S0219199715500662BIB006', '10.1090%252Fconm%252F116%252F1108629'); Divisors, linear systems, invertible sheaves, Vector bundles on curves and their moduli, Picard groups Normal sheaves of linear systems on 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 simple Lie algebras; McKay correspondence; Vogel's universality; Diophantine equations; regular maps Khudaverdian, H.M.; Mkrtchyan, R.L., Diophantine equations, platonic solids, mckay correspondence, equivelar maps and Vogel's universality, J. geom. phys., 114, 85-90, (2017) Cubic and quartic Diophantine equations, Curves of arbitrary genus or genus \(\ne 1\) over global fields, McKay correspondence, Simple, semisimple, reductive (super)algebras, Three-dimensional polytopes Diophantine equations, platonic solids, McKay correspondence, equivelar maps and Vogel's universality | 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 equisingularity; topological type of singularity; complete intersection isolated singularity; Milnor numbers; isomorphic monodromy fibrations Parameswaran, AJ, Topological equisingularity for isolated complete intersection singularities, Compos. Math., 80, 323-336, (1991) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Complete intersections, Germs of analytic sets, local parametrization Topological equisingularity for isolated complete intersection 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 algebraic group actions; third order linear differential equation; singular oscillators; equivariant vector bundles Vector bundles on curves and their moduli, Group actions on varieties or schemes (quotients) Equivariant vector bundles over affine subsets of the projective line | 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 equisingularity; polar multiplicities; integral closure of ideals; integral closure of modules Equisingularity (topological and analytic), Singularities in algebraic geometry, Multiplicity theory and related topics, Invariants of analytic local rings, Semi-analytic sets, subanalytic sets, and generalizations, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Gaffney's work on equisingularity | 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 Poisson bracket; polynomial ring; differential forms Jacobian problem, Derivations and commutative rings, Poisson algebras A note on the solution set of the equation \([L_1^r,P_1]=[P_2,L_2^s]\) for given linear forms \(L_1,L_2\) | 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 curves; linear series doi:10.1353/ajm.2011.0010 Divisors, linear systems, invertible sheaves Residuation of linear series and the effective cone of \(C_d\) | 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 analytic mappings; number of branches Szafraniec, Z.: A formula for the number of branches of one-dimensional semianalytic sets. Math. proc. Cambridge philos. Soc. 112, 527-534 (1992) Semi-analytic sets, subanalytic sets, and generalizations, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Real-analytic and semi-analytic sets, Real-analytic and Nash manifolds A formula for the number of branches for one-dimensional semianalytic sets | 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 Hess-Appel'rot rigid body system; Lax pair; algebro-geometric integration; Lagrange bitop; Mumford relation; bi-Poisson structure; quasi-homogeneity; Kowalevski exponents Dragović, V. and Gajić, B., Systems of Hess-Appel'rot Type, Comm. Math. Phys., 2006, vol. 265, no. 2, pp. 397--435. Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Relationships between algebraic curves and integrable systems, Integrable cases of motion in rigid body dynamics Systems of Hess-Appel'rot type | 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 Schmitt, A. H. W.: A closer look at semistability for singular principal bundles. Int. Math. Res. Not. 2004 , no. 62, 3327-3366. Vector bundles on surfaces and higher-dimensional varieties, and their moduli A closer look at semistability for singular principal 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 effective loci; higher contact loci; Semple sheaves; torsors Laksov, D.; Speiser, R.: Local and global structure of effective and cuspidal loci on grassmannians, Comm. alg. 31, No. 8, 3993-4006 (2003) Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Local and global structure of effective and cuspidal loci on Grassmannians | 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 Toda type flow; flows of spinning top type; Lie algebra representation; theory of correspondences; linearization of Hamiltonian system; Jacobi varieties; representation theory; algebraic curve; Kac-Moody algebras M. Adler and P. van Moerbeke, ''Linearization of Hamiltonian systems, Jacobi varieties, and representation theory,'' Adv. Math.,38, No. 3, 318--379 (1980). Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Geometric quantization, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Rational and birational maps, Jacobians, Prym varieties Linearization of Hamiltonian systems, Jacobi varieties and representation 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 Plücker-Klein map; quadric; pencil of quadrics; biquadric; cosingular biquadrics; Klein variety Complete intersections, Varieties of low degree, Configurations and arrangements of linear subspaces, Fano varieties, Families, moduli of curves (algebraic) The generalized Plücker-Klein map | 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 integrable systems; Calogero-Moser type systems; spectral coordinates; Hamiltonian reduction; action-angle duality Momentum maps; symplectic reduction, Relationships between algebraic curves and integrable systems A simple proof of Sklyanin's formula for canonical spectral coordinates of the rational Calogero-Moser 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 singularity theory Keilen T., Comm. in Algebra 33 pp 455-- (2005) Singularities of curves, local rings, Rational and ruled surfaces, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry Irreducibility of equisingular families of curves --- improved conditions | 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 Fujita's conjecture; adjoint bundles; global generation; very ampleness Divisors, linear systems, invertible sheaves Global generation and very ampleness for adjoint linear series | 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 Newton polyhedron; Laurent monomials; determinant of the logarithmic Cayley-Koszul complex I. M. Gelfand, A. V. Zelevinskii, and M. M. Kapranov, Newton polyhedra of principal \(A\)-determinants , Dokl. Akad. Nauk SSSR 308 (1989), no. 1, 20-23. Toric varieties, Newton polyhedra, Okounkov bodies, Determinantal varieties Newton polyhedra of principal \(A\)-determinants | 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 Diophantine approximation; Liouville's theorem; Arakelov geometry; Seshadri constant; rational points Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Approximation to algebraic numbers A generalization of the effective Liouville theorem for 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 equivariant Chow groups; cycle modules; motivic J-invariant Gille S., Zainoulline K., Equivariant pretheories and invariants of torsors, Transform. Groups, 2012, 17(2), 471--498 (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Group actions on varieties or schemes (quotients) Equivariant pretheories and invariants of torsors | 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 dimension of adjoint linear series; positivity of ample line bundles; number of sections; line bundle; multiple point Seshadri constant; very general points Küchle, O, Multiple point Seshadri constants and the dimension of adjoint linear series, Ann. Inst. Fourier (Grenoble), 46, 63-71, (1996) Divisors, linear systems, invertible sheaves Multiple point Seshadri constants and the dimension of adjoint linear series | 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; fat points; interpolation Dumnicki, M., An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb{P}^n\), J. Symbolic Comput., 44, 1448-1462, (2009) Divisors, linear systems, invertible sheaves, Effectivity, complexity and computational aspects of algebraic geometry An algorithm to bound the regularity and nonemptiness of linear systems in \(\mathbb P^n\) | 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 point configurations; Chow class; equivariant cohomology Enumerative problems (combinatorial problems) in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Algebraic cycles, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) Orbits in \((\mathbb{P}^r)^n\) and equivariant quantum cohomology | 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 Products of linear forms, Minima of forms, Arithmetic ground fields for surfaces or higher-dimensional varieties Positive homogeneous minima for a system of linear 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 stable vector bundle; Hermitian-Einstein equations; vector bundle on a Riemann surface; equivariant stable bundle; vortex equation; Hitchin-Kobayashi correspondence; stable triples of holomorphic vector bundles; dimensional reduction; semistability; stability; polystable holomorphic vector bundle Bradlow, SB; García-Prada, O., Stable triples, equivariant bundles and dimensional reduction, Math. Ann., 304, 225-252, (1996) Kähler-Einstein manifolds, Vector bundles on curves and their moduli Stable triples, equivariant bundles and dimensional reduction | 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 variety of linear systems on a general curve; cohomology of Jacobian; Castelnuovo-Severi-Kleiman conjecture; algebraic intersection number; Schubert calculus Griffiths, P. \& Harris, J.,On the variety of special linear systems on a general algebraic curves, Duke Math. J.,47(1980), 233--272. Jacobians, Prym varieties, Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Special algebraic curves and curves of low genus, Enumerative problems (combinatorial problems) in algebraic geometry On the variety of special linear systems on a general algebraic 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 Noncommutative algebraic geometry, Motivic cohomology; motivic homotopy theory, (Equivariant) Chow groups and rings; motives, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Enriched categories (over closed or monoidal categories) A note on the Schur-finiteness of linear sections | 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'Andrea, C., Sombra M.: A Poisson formula for the sparse resultant. Proc. Lond. Math. Soc. \textbf{110}(4), 932-964 (2015). arXiv:1310.6617 Toric varieties, Newton polyhedra, Okounkov bodies, Solving polynomial systems; resultants, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) A Poisson formula for the sparse resultant | 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 multiplicity-free; skew characters; symmetric group; skew Schur functions; Schubert calculus Gutschwager C.: On multiplicity-free skew characters and the Schubert calculus. Ann. Combin. 14(3), 339--353 (2010) Symmetric functions and generalizations, Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups On multiplicity-free skew characters and the Schubert calculus | 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 fat points; degeneration techniques; Laface-Ugaglia conjecture; base locus; quadric surface DOI: 10.1007/s10231-015-0528-5 Divisors, linear systems, invertible sheaves, Hypersurfaces and algebraic geometry, Rational and ruled surfaces On linear systems of \(\mathbb P^3\) with nine base points | 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 Poincaré series; filtrations; group actions Campillo, A., Delgado, F., Gusein-Zade, S.: Equivariant Poincaré series of filtrations. Rev. Mat. Complut. 26, 241-251 (2013) Singularities in algebraic geometry, Filtered associative rings; filtrational and graded techniques, Actions of groups and semigroups; invariant theory (associative rings and algebras) Equivariant Poincaré series of filtrations | 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 effective cycles; morphic cohomology; Friedlander-Lawson homology theory (Co)homology theory in algebraic geometry, Parametrization (Chow and Hilbert schemes), Other homology theories in algebraic topology A theory of algebraic cocyles | 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 smoothing of linear systems on curves; nodal curve; line bundle; deformation theory; Hilbert scheme; good families of curves on projective spaces Chang , M.-C. Rav , Z. , '' Deformations of complete linear systems on reducible curves '', Proc. of Symp. in Pure Math. A.M.S. 46 ( 1987 ), 63 - 75 . Zbl 0659.14003 Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic), Special algebraic curves and curves of low genus Deformations and smoothing of complete linear systems on reducible 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 fat points; linear systems; postulation; plane curves Monserrat, F., 2006. Curves having one place at infinity and linear systems on rational surfaces. Available via http://www.arxiv.org/pdf/math.AG/0607677. Submitted 26 July 2006 Divisors, linear systems, invertible sheaves, Plane and space curves, Computational aspects of algebraic curves Curves having one place at infinity and linear systems on rational 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 3-folds; 4-folds; canonical volume; pluricanonical map; varieties of general type; multiplier ideal; log canonical center Lorenzo Di Biagio, ``Pluricanonical systems for 3-folds and 4-folds of general type'', Math. Proc. Camb. Philos. Soc.152 (2012) no. 1, p. 9-34 \(3\)-folds, \(4\)-folds, Divisors, linear systems, invertible sheaves, Rational and birational maps Pluricanonical systems for 3-folds and 4-folds of general type | 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 hypersimplicial decorated ordered set partitions Combinatorial aspects of representation theory, Partitions of sets, Exact enumeration problems, generating functions, Grassmannians, Schubert varieties, flag manifolds A combinatorial formula for the Ehrhart \(h^\ast\)-vector of the hypersimplex | 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 Newton polygon; \(p\)-divisible group; finite group scheme; \(F\)-zip Harashita, S., The supremum of Newton polygons of \textit{p}-divisible groups with a given \textit{p}-kernel type, Geometry and Analysis of Automorphic Forms of Several Variables, 41-55, (2011) Formal groups, \(p\)-divisible groups, Abelian varieties and schemes, Group schemes The supremum of Newton polygons of \(p\)-divisible groups with a given \(p\)-kernel type | 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 \(K3\) surfaces and Enriques surfaces, Divisors, linear systems, invertible sheaves Recent results on linear system on generic \(K3\) 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 algebraic cycles; Chow groups; \(K3\) surfaces; Mumford's theorem; intersection product (Equivariant) Chow groups and rings; motives, Algebraic cycles, Transcendental methods, Hodge theory (algebro-geometric aspects) On a multiplicative version of Mumford's theorem | 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 invariant holonomic system; prehomogeneous vector space; b-functions Homogeneous spaces and generalizations, Relations of PDEs on manifolds with hyperfunctions A note on the holonomic system of invariant hyperfunctions on a certain prehomogeneous vector 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 stable homotopy group; equivariant stable homotopy theory; motivic stable homotopy theory; Adams spectral sequence Stable homotopy groups, Equivariant homotopy groups, Motivic cohomology; motivic homotopy theory, Stable homotopy of spheres, Adams spectral sequences \(C_2\)-equivariant and \(\mathbb{R}\)-motivic stable stems. 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 principal bundle; projective space; linear algebraic group Group varieties A Babylonian tower theorem for principal bundles over 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 Vector bundles on curves and their moduli Geometric properties (strong \(t\)-spannedness) of generic \(\alpha\)-stable coherent systems on smooth 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 characteristic \(p\); spannedness of adjoint linear systems; minimal surface of general type; unstable vector bundles Divisors, linear systems, invertible sheaves, Surfaces of general type, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Finite ground fields in algebraic geometry Adjoint linear systems on a surface of general type 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 systems; regularity of an ideal sheaf; Hilbert polynomial; vanishing theorem M. Green, Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann, In: ``Algebraic curves and projective geometry'', E. Ballico - C. Ciliberto (eds.), Lecture Notes in Mathematics 1389, Springer-Verlag 1989, pp. 76-86. Zbl0717.14002 MR1023391 Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Relevant commutative algebra, Vanishing theorems in algebraic geometry Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann | 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 Schneider, O., Stabilité des fibrés \(\wedge^p E_L\) et condition de raynaud, Ann. Fac. Sci. Toulouse Math. (6), 14, 3, 515-525, (2005) Vector bundles on curves and their moduli Stability of the bundles \(\Lambda^p E_L\) and the Raynaud condition | 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; curves embedded in a smooth surface; fibration; Reider's theory E.Ballico, On curves with special linear systems. Preprint 1994. Divisors, linear systems, invertible sheaves, Embeddings in algebraic geometry, Singularities of curves, local rings, Surfaces and higher-dimensional varieties Singular curves on surfaces and linear systems | 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 equisingular family of quasi-ordinary singularities; Whitney stratification; characteristic monomials C. Ban, A Whitney stratification and equisingular family of quasi-ordinary singularities , Proc. Amer. Math. Soc. 117 (1993), 305--311. JSTOR: Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Singularities in algebraic geometry A Whitney stratification and equisingular family of quasi-ordinary 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 algebraic curve; place at infinity; ideal quotient; Gröbner basis; algebraic geometry code; Weierstraß semigroup; Riemann-Roch space 11. Matsumoto, R., Miura, S.: Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic curve. J. Symb. Comput. 30 (3), 309-323 (2000). Computational aspects of algebraic curves, Geometric methods (including applications of algebraic geometry) applied to coding theory, Valuations and their generalizations for commutative rings, Divisors, linear systems, invertible sheaves, Riemann surfaces; Weierstrass points; gap sequences Finding a basis of a linear system with pairwise distinct discrete valuations on an algebraic 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 homogeneous spaces; homogeneous vector bundles; splitting type Maakestad, H.: A note on the principal parts on projective space and linear representations. Proc. Am. Math. Soc. 133(2), 349--355 (2005) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Group actions on varieties or schemes (quotients), Ordinary representations and characters A note on principal parts on projective space and linear 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 semi-infinite flag manifold; normality; \(K\)-theory; Pieri-Chevalley formula; standard monomial theory; semi-infinite Lakshmibai-Seshadri path Quantum groups (quantized enveloping algebras) and related deformations, Classical problems, Schubert calculus, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula | 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 curve; linear system; totally non-real divisor Coppens, Totally non-real divisors in linear systems on smooth real curves, Adv. Geom. 8 pp 551-- (2008) Special algebraic curves and curves of low genus, Real algebraic sets Totally non-real divisors in linear systems on smooth real 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 adjoint divisor; freeness of linear series; threefolds EL L.~Ein and R.~Lazarsfeld. \newblock Global generation of pluri canonical and adjoint linear series on smooth projective threefolds. \newblock \em J.~Amer.~Math.~Soc., Vol. 6, pp. 875--903, 1993. Divisors, linear systems, invertible sheaves, \(3\)-folds Global generation of pluricanonical and adjoint linear series on smooth projective 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 local system; multiplier ideal; parabolic line bundle; abelian cover; polynomial periodicity of line bundles Budur N. Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge numbers. Adv Math, 2009, 221: 217--250 Multiplier ideals, Global theory of complex singularities; cohomological properties Unitary local systems, multiplier ideals, and polynomial periodicity of Hodge 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 local-global principle; abelian varieties P. Jossen, A. Perucca, A counterexample to the local-global principle of linear dependence for abelian varieties, C. R. Acad. Sci. Paris, Ser. I 348 (2010), no. 1, 9--10. Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties A counterexample to the local-global principle of linear dependence for abelian 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 output feedback; holomorphic curves in Grassmannian; degree of variety; pole placement; dynamic compensators; extended Schubert calculus; quantum ring I.V. Melnikov and M.R. Plesser, \textit{A-model correlators from the Coulomb branch}, hep-th/0507187 [INSPIRE]. Pole and zero placement problems, Geometric methods, Grassmannians, Schubert varieties, flag manifolds Dynamic pole assignment and Schubert calculus | 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 systems; rigidity; integrality Variation of Hodge structures (algebro-geometric aspects), Finite ground fields in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry Cohomologically rigid local systems and integrality | 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 principal bundle; tump; moduli Vector bundles on curves and their moduli, Algebraic moduli problems, moduli of vector bundles A generalization of principal bundles with a parabolic or level structure | 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 Cartier operator on a plane algebraic curve; computations; ideals defining canonical curves; rational points of an algebraic curve K.-O. Stöhr, A formula for the Cartier operator on plane algebraic curves, J. reine angew. Math., 377, 49, (1987) Curves in algebraic geometry, Finite ground fields in algebraic geometry, Rational points A formula for the Cartier operator on plane 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 Linear ordinary differential equations and systems, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds Linear ordinary differential equations and Schubert calculus | 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 Waring problem; powers of linear forms, linear systems with assigned singularities M. Mella, \textit{Singularities of linear systems and the Waring problem}, Trans. Amer. Math. Soc., 358 (2006), pp. 5523--5538, . Projective techniques in algebraic geometry, Hypersurfaces and algebraic geometry, Rational and birational maps Singularities of linear systems and the Waring problem | 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 Frobenius classes; volumes of tubes; semi-algebraic set; prime number theorem in algebraic number fields; Chebotarev's density theorem; equidistribution of prime ideals B. Z. Moroz, ''Equidistribution of Frobenius classes and the volumes of tubes,'' Acta Arith., 51, 269--276 (1988). Density theorems, Primes in congruence classes, Real algebraic and real-analytic geometry Equidistribution of Frobenius classes and the volumes of tubes | 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 algebraicity; analytic set germs S. Izumi, A criterion for algebraicity of analytic set germs, Proc. Japan Acad. Ser. A 68 (1992), 307-309. Analytic subsets of affine space, Real-analytic and semi-analytic sets A criterion for algebraicity of analytic set germs | 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 Bolibrukh A. A., ''On Fuchsian Systems with Given Asymptotics and Monodromy,'' Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 224, 112--121 (1999) [Proc. Steklov Inst. Math. 224, 98--106 (1999)]. Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms, Structure of families (Picard-Lefschetz, monodromy, etc.) On Fuchsian systems with given asymptotics and monodromy. | 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 Hermann, R.: Linear systems theory and introductory algebraic geometry. 8 (1974) Mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Linear systems theory and introductory algebraic 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 Giambelli formula; orthohogonal Grassmannians; Schubert classes; Dynkin diagrams Buch, A.; Kresch, A.; Tamvakis, H., \textit{A Giambelli formula for even orthogonal Grassmannians}, J. Reine Angew. Math., 708, 17-48, (2015) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations, Equivariant algebraic topology of manifolds A Giambelli formula for even orthogonal Grassmannians | 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 moment maps; compactness; representations of quivers Representation theory for linear algebraic groups, Representations of quivers and partially ordered sets, Group actions on varieties or schemes (quotients), Momentum maps; symplectic reduction A compactness criterion for quotients associated to linear actions. | 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 quadrics in complex space; Jacobian Divisors, linear systems, invertible sheaves, Special surfaces, Projective techniques in algebraic geometry, Projective analytic geometry On the hypersurfaces generated by the Jacobian of a linear system 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 finite principal homogeneous space Group schemes, Homogeneous spaces and generalizations, Injective and flat modules and ideals in commutative rings A local determination theorem for finite principal homogeneous 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 multiplier ideal sheaves; minimal model program; subadjunction theorem; pluricanonical system Hajime Tsuji, ``Pluricanonical systems of projective varieties of general type. I'', Osaka J. Math.43 (2006) no. 4, p. 967-995 Minimal model program (Mori theory, extremal rays), Sheaves and cohomology of sections of holomorphic vector bundles, general results, Rational and birational maps, \(n\)-folds (\(n>4\)), Plurisubharmonic functions and generalizations, Embeddings in algebraic geometry Pluricanonical systems of projective varieties of general type. 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 affine Deligne-Lusztig variety; Newton strata; affine flag variety Linear algebraic groups over local fields and their integers, Varieties over finite and local fields, Formal groups, \(p\)-divisible groups, Reflection and Coxeter groups (group-theoretic aspects) Generic Newton points and the Newton poset in Iwahori-double cosets | 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 algebraically completely integrable system; Hénon-Heiles system; Prym variety A. Lesfari, ''Le système différentiel de Hénon-Heiles et les variétés de Prym,'' Pac. J. Math. 212(1), 125--132 (2003). Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Jacobians, Prym varieties, Relationships between algebraic curves and integrable systems The Henon-Heiles differential system and Prym 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 Jacobian Conjecture; Dixmier Conjecture; Poisson Conjecture; reduction mod p techniques Adjamagbo P.K., van den Essen A., A proof of the equivalence of the Dixmier, Jacobian and Poisson Conjectures, Acta Math. Vietnam., 2007, 32(2--3), 205--214 Jacobian problem, Rings of differential operators (associative algebraic aspects) A proof of the equivalence of the Dixmier, Jacobian and Poisson conjectures | 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 basepoint-freeness; b-divisors; saturation Fujino, O.: Base point free theorems--saturation, B-divisors and canonical bundle formula. Algebra Number Theory, to appear. arXiv:math/0508554v3 Divisors, linear systems, invertible sheaves, Adjunction problems, Minimal model program (Mori theory, extremal rays) Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula | 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 Schmitt, A., The equivalence of Hilbert and Mumford stability for vector bundles, Asian J. Math., 5, 1, 33-42, (2001) Vector bundles on curves and their moduli The equivalence of Hilbert and Mumford stability for vector 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 holonomic recurrence; Picard-Fuchs differential equation; modular form; elliptic curve; congruence; asymptotics Modular and automorphic functions, Recurrences, Special sequences and polynomials, Elliptic curves Arithmetic properties of Picard-Fuchs equations and holonomic recurrences | 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 polynomial algebra; coordinate; residual coordinate Polynomials over commutative rings, Affine fibrations A note on partial coordinate system in a polynomial ring | 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 equivariant sheaves; elliptic difference equations; difference equations Sheaves in algebraic geometry, Formal neighborhoods in algebraic geometry, Difference equations The local information of equivariant sheaves and elliptic difference 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 quantitative equidistribution results; renormalization; invariant distributions for nilflows; Birkhoff sums Flaminio, L.; Forni, G.: Equidistribution of nilflows and applications to \({\theta}\) sums, Ergodic theory dynam. Systems 26, 409-433 (2006) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.), Ergodic theorems, spectral theory, Markov operators, Universality and renormalization of dynamical systems, Theta functions and abelian varieties, Trigonometric and exponential sums (general theory) Equidistribution of nilflows and applications to theta sums | 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 DOI: 10.1007/BF01388535 Singularities in algebraic geometry, Polynomial rings and ideals; rings of integer-valued polynomials, Formal power series rings Generalized Newton-Puiseux expansion and Abhyankar-Moh semigroup theorem | 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 Manin-Mumford conjecture; André-Oort conjecture; abelian varieties; Shimura varieties; special points; equidistribution Yafaev, A, Galois orbits and equidistribution: Manin-Mumford and André-Oort, J. de la Théorie des Nr. Bordx., 21, 493-502, (2009) Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Arithmetic and non-Archimedean dynamical systems, Subvarieties of abelian varieties Galois orbits and equidistribution: Manin-Mumford and André-Oort | 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 arithmetic Bott residue formula; arithmetic Lefschetz fixed point formula; arithmetic Riemann-Roch theorem; arithmetic Chern number; analytic torsion; anomaly term; characteristic current; Arakelov geometry Köhler, K.; Roessler, D.: A fixed point formula of Lefschetz type in Arakelov geometry II: a residual formula. Ann. inst. Fourier 52, 81-103 (2002) Arithmetic varieties and schemes; Arakelov theory; heights, Riemann-Roch theorems, Determinants and determinant bundles, analytic torsion, Group actions on varieties or schemes (quotients), Index theory and related fixed-point theorems on manifolds, Arithmetic ground fields for abelian varieties A fixed point formula of Lefschetz type in Arakelov geometry. II: A residue formula | 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 quotient singularities; Hirzebruch class; Molien series; McKay correspondence; Du Val singularities; symplectic singularities McKay correspondence, Linear algebraic groups over the reals, the complexes, the quaternions, Global theory and resolution of singularities (algebro-geometric aspects), Algebraic cycles Equivariant Hirzebruch classes and Molien series of quotient 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 Grassman manifold; Pontryagin (homographic) coordinates; scalar density \(\Phi\) of weight \(\omega\) Grassmannians, Schubert varieties, flag manifolds, Classical hypergeometric functions, \({}_2F_1\), Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics A formula about tensorial densities on Grassmannians | 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 Relevant commutative algebra, Structure, classification theorems for modules and ideals in commutative rings, Solving polynomial systems; resultants, Polynomial rings and ideals; rings of integer-valued polynomials An eigenvalue theorem for systems of polynomial 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 non-Archimedean geometry; Berkovich analytic spaces; Kähler seminorms; pluriforms; skeletons temkin M. Temkin, \textit Metrization of differential pluriforms on Berkovich analytic spaces, Nonarchimedean and Tropical Geometry, Simons Symposia, Springer, 2016, 195--285. Non-Archimedean analysis, Kähler manifolds, Rigid analytic geometry Metrization of differential pluriforms on Berkovich analytic 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 elliptic curves; isogeny; local-global principle Sutherland, Andrew V., A local-global principle for rational isogenies of prime degree, J. Théor. Nombres Bordeaux, 1246-7405, 24, 2, 475-485, (2012) Elliptic curves over global fields, Arithmetic ground fields for abelian varieties A local-global principle for rational isogenies of prime degree | 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 characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Unstable vector bundles and linear systems on surfaces in characteristic p | 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 systems; Lüroth semigroup of smooth plane curves Coppens M.: The existence of base point free linear systems on smooth plane curves. J. Algebr. Geom. 4, 1--15 (1995) Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves The existence of base point free linear systems on smooth plane 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 normal flatness; desingularization; Hilbert polynomial; Hilbert functions; blowing ups; equimultiplicity; local cohomology; Cohen- Macaulay; Rees rings; local complex-analytic geometry Herrmann, M.; Ikeda, S.; Orbanz, U., Equimultiplicity and blowing up. \textrm{An algebraic study, with an appendix by B.\ Moonen}, 3-540-15289-X, xviii+629 pp., (1988), Springer-Verlag, Berlin Multiplicity theory and related topics, Global theory and resolution of singularities (algebro-geometric aspects), Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Local cohomology and algebraic geometry, Local analytic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Equimultiplicity and blowing up. An algebraic study. With an appendix by B. Moonen | 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 hyperelliptic curves; Green functions; branch points Families, moduli of curves (analytic), Applications of deformations of analytic structures to the sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Elliptic curves On a new hyperelliptic formula | 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 motivic homotopy theory; Grothendieck-Witt group; trace formula Hoyois, Marc, A quadratic refinement of the {G}rothendieck-{L}efschetz-{V}erdier trace formula, Algebr. Geom. Topol.. Algebraic \& Geometric Topology, 14, 3603-3658, (2014) Motivic cohomology; motivic homotopy theory, Algebraic theory of quadratic forms; Witt groups and rings, Fixed points and coincidences in algebraic topology A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula | 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 Hasse principle; arithmetic of surfaces; points of odd degree P. Salberger, Some new Hasse principles for conic bundle surfaces , Séminaire de Théorie des Nombres, Paris 1987-88, Progr. Math., vol. 81, Birkhäuser Boston, Boston, MA, 1990, pp. 283-305. Rational points, Algebraic number theory: global fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Some new Hasse principles for conic bundle 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 simple quartic surface; equisingular deformation Ç. G. Aktaş, Classification of simple quartics up to equisingular deformation, Hiroshima Math. J. 46 (2017), no. 1, 87--112. \(K3\) surfaces and Enriques surfaces, Families, moduli, classification: algebraic theory, Singularities of surfaces or higher-dimensional varieties Classification of simple quartics up to equisingular deformation | 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 computational methods; zero-dimensional systems; zero-dimensional ideal; multiplicities; idempotents; Gröbner basis Alonso, M. E.; Becker, E.; Roy, M. F.; Wörmann, T.: Zeros, multiplicities, and idempotents for zero-dimensional systems. Algorithms in algebraic geometry and applications, 1-15 (1996) Computational aspects of algebraic curves, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Polynomial rings and ideals; rings of integer-valued polynomials Zeros, multiplicities, and idempotents for zero-dimensional systems | 0 |
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