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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 abundance conjecture; generalized pairs; minimal model program Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Nef and abundant divisors, semiampleness 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 \(G\)-clusters; \(G\)-constellations; crepant resolution; Hilbert scheme A. Ishii, Y. Ito and Á. Nolla de Celis, On \(G/N\)-Hilb of \(N\)-Hilb, Kyoto J. Math. 53 (2013), no. 1, 91-130. MR3049308 McKay correspondence, Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Global theory and resolution of singularities (algebro-geometric aspects), Representations of quivers and partially ordered sets On \(G/N\)-Hilb of \(N\)-Hilb | 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 combinatorial manifold; combinatorial pseudomanifold; intersection form; \(K3\) surface; Kummer variety; resolution of singularities; simplicial Hopf map J. Spreer, \textit{Blowups, slicings and permutation groups in combinatorial topology}, PhD thesis, University of Stuttgart, 2011. Triangulating manifolds, \(K3\) surfaces and Enriques surfaces, Global theory and resolution of singularities (algebro-geometric aspects), Comparison of PL-structures: classification, Hauptvermutung, Polyhedral manifolds Combinatorial properties of the \(K3\) surface: simplicial blowups and slicings | 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 derived categories of coherent sheaves; categorical resolutions of singularities; noncommutative resolutions of singularities; crepant resolutions of singularities; Lefschetz decompositions Auslander, M.: Isolated singularities and existence of almost split sequences. In: Proc. ICRA IV, Lecture Notes in Mathematics, vol. 1178, pp.~194-241, Springer (1986) Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays) Lefschetz decompositions and categorical resolutions 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 fan decomposition Pérez, PDG; Teissier, B, Embedded resolutions of non necessarily normal affine toric varieties, C. R. Math. Acad. Sci. Paris, 334, 379-382, (2002) Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (algebro-geometric aspects) Embedded resolutions of non necessarily normal affine toric 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 syzygies; Koszul complex; Hilbert function; Green-Lazarsfeld conjecture; minimal resolution conjecture [CRV3] Cavaliere, M.P., Rossi, M.E., Valla, G.: On Green-Lazarsfeld and Minimal resolution conjecture forn+3 points inP n . J. Pure Appl. Algebra85, 105--117 (1993) Global theory and resolution of singularities (algebro-geometric aspects), Syzygies, resolutions, complexes and commutative rings, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Global theory of complex singularities; cohomological properties On the Green-Lazarsfeld conjecture and the minimal resolution conjecture for \(n+3\) points 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 Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves Postulation of a union \(X\subset \mathbb P^r\), \(r\geq 4\), of a given zero-dimensional scheme and several general lines | 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 conic fibration; scroll; Hilbert curve Divisors, linear systems, invertible sheaves, Adjunction problems, \(4\)-folds, Special varieties Hilbert curves of conic fibrations over smooth 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 surfaces; cohomology support loci; Albanese map Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants), Divisors, linear systems, invertible sheaves Algebraic surfaces with zero-dimensional cohomology support locus | 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 Bertini's theorems; Stein factorization De Fernex, T.; Lanteri, A.: Bad loci of free linear systems. Adv. geom. 6, 93-107 (2005) Divisors, linear systems, invertible sheaves, Special surfaces Bad loci of free 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 projective geometry; singularities; dual variety Classical problems, Schubert calculus, Singularities in algebraic geometry, Divisors, linear systems, invertible sheaves Erratum to ``Singularities of the projective 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 Fukuma, Y.: On the second sectional geometric genus of quasi-polarized manifolds. Adv. Geom. 4, 215--239 (2004) Divisors, linear systems, invertible sheaves, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Adjunction problems On the second sectional geometric genus of quasi-polarized manifolds | 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 curve van Hoeij, M., Rational parametrizations of algebraic curves using a canonical divisor, \textit{Journal of Symbolic Computation}, 23, 2-3, 209-227, (1997) Symbolic computation and algebraic computation, Divisors, linear systems, invertible sheaves, Computational aspects of algebraic curves Rational parametrizations of algebraic curves using a canonical divisor | 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 formulas; Weierstrass points; hyperosculation; positive characteristic; Wronskian points; gap sequence Laksov, D., Wronskians and Plücker formulas for linear systems on curves, Ann. Sci. Éc. Norm. Supér. (4), 17, 45-66, (1984) Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves, Enumerative problems (combinatorial problems) in algebraic geometry, Curves in algebraic geometry Wronskians and Plücker formulas for 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 Teissier-Plücker formula; projective varieties with isolated singularities; Buchsbaum-Rim multiplicity Steven L. Kleiman, A generalized Teissier-Plücker formula, Classification of algebraic varieties, Contemporary Mathematics 162, American Mathematical Society, 1992, p. 249-260 Enumerative problems (combinatorial problems) in algebraic geometry, Hypersurfaces and algebraic geometry, Singularities in algebraic geometry, Multiplicity theory and related topics A generalized Teissier-Plücker 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 Plücker formula; Segre numbers; Buchsbaum-Rim multiplicities; Chern class of a desingularization; cuspidal divisor; Chow group of the singular locus Anders Thorup, Generalized Plücker formulas, Recent progress in intersection theory (Bologna, 1997) Trends Math., Birkhäuser Boston, Boston, MA, 2000, pp. 299 -- 327. Singularities in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Parametrization (Chow and Hilbert schemes), Enumerative problems (combinatorial problems) in algebraic geometry Generalized Plücker formulas | 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 formula; degree of dual variety; codimension; Euler characteristics Lars Ernström, ``A Plücker formula for singular projective varieties'', Commun. Algebra25 (1997) no. 9, p. 2897-2901 Families, moduli, classification: algebraic theory, Low codimension problems in algebraic geometry A Plücker formula for singular 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 integral curves; general Plücker formula; autodual curves Givental', A.B.: Russ. Math. Surv.44:3, 193 (1989) Curves in algebraic geometry, Simple, semisimple, reductive (super)algebras, Questions of classical algebraic geometry Plücker formulae and Cartan matrices | 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 compact Riemann surface; algebraic curve; simple Lie group; line bundles; Maurer-Cartan structure equations; infinitesimal Plücker formulae Yang K.: Plücker formulae for the orthogonal group. Bull. Austral. Math. Soc. 40, 447--456 (1989) Global submanifolds, Embeddings in algebraic geometry Plücker formulae for the orthogonal group | 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 geometry Algebraic geometry, Several complex variables and analytic spaces Notes on complex manifolds and algebraic varieties. I: Plücker's 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 flattening point of a curve; non-degenerate quasi-homogeneous singular point Singularities of curves, local rings, Singularities in algebraic geometry Vanishing flattening points and generalized Plücker formulas | 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 cuspidal curve; ordinary cusp; ordinary node; virtual cusp; virtual node; dual curve Kulikov, Vik.S.: A remark on classical pluecker's formulae (2011). arXiv:1101.5042 Singularities of curves, local rings, Plane and space curves, Projective techniques in algebraic geometry A remark on classical Pluecker's formulae | 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 plurisubharmonic functions; approximation On equisingular approximation of plurisubharmonic 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 Plücker formulae; singular space curves DOI: 10.1017/S0305004111000260 Plane and space curves, Projective techniques in algebraic geometry Plücker formulae for singular space 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 categorification; Plücker formula; homological projective duality Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories, triangulated categories Categorical Plücker formula and homological projective duality | 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 apparent double points Classical problems, Schubert calculus, Surfaces and higher-dimensional varieties Plücker-Clebsch formula in higher 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 families of curve singularities; Milnor number of the singularity; generalized criterion for equisingularity Global theory and resolution of singularities (algebro-geometric aspects), Families, moduli of curves (analytic), Modifications; resolution of singularities (complex-analytic aspects), Singularities of curves, local rings A generalized criterion for 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 local Plücker formulas; curvature and metric vectors; holomorphic curves Positsel'skii, L.E.: Sov. J. Funct. Anal. and Appl.25, No. 4, 291 (1991) Semisimple Lie groups and their representations, Curves in algebraic geometry, Local Riemannian geometry Local Plücker formulas for a semisimple Lie group | 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 Plücker formulas; curvature and metric vectors; holomorphic curves Semisimple Lie groups and their representations, Curves in algebraic geometry, Homogeneous complex manifolds Local Plücker formulae for a semisimple Lie group | 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 Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Derivations and commutative rings On Plucker equations characterizing Grassmann cones | 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 embeddings; Metric \(n\)-Lie algebras; Supersymmetry; IIB string theory Figueroa-O'farrill, J.; Papadopoulos, G.: Plücker type relations for orthogonal planes Supergravity, Applications of global differential geometry to the sciences, Determinantal varieties, Exterior algebra, Grassmann algebras Plücker-type relations for orthogonal planes | 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 Grassmannian; Plücker coordinates; arithmetic matroid; regular matroid; representability; vector configuration Combinatorial aspects of matroids and geometric lattices, Grassmannians, Schubert varieties, flag manifolds, Tropical geometry On powers of Plücker coordinates and representability of arithmetic matroids | 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 Abhyankar-Moh theorem; embedding line theorem; deformation; equisingular family Lejeune-Jalabert, M.: Sur l'équivalence des courbes algébroïdes planes. Coefficients de Newton. Contribution à l'etude des singularités du poit du vue du polygone de Newton, Paris VII, Janvier 1973, Thèse d'Etat. See also in Travaux en Cours, 36 (edit. Lê Dũng Trãng) Introduction à la théorie des singularités I, 49-124 (1988) Singularities of curves, local rings, Formal methods and deformations in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Jacobians, Prym varieties, Equisingularity (topological and analytic), Singularities in algebraic geometry On equisingularity, analytical irreducibility and embedding line 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 Rocco Chirivì and Andrea Maffei, Plücker relations and spherical varieties: application to model varieties, Transform. Groups 19 (2014), no. 4, 979 -- 997. Compactifications; symmetric and spherical varieties, Grassmannians, Schubert varieties, flag manifolds Plücker relations and spherical varieties: application to model 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 cohomology ring of the Grassmann manifold; Plücker coordinates; Schubert cycles Grassmannians, Schubert varieties, flag manifolds The relations of Plücker coordinates to 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 directed graphs; topological graph theory; Grassmannians Talaska, K., A formula for Plücker coordinates associated with a planar network, Int. Math. Res. Not. IMRN, 2008, (2008), 19 pp Directed graphs (digraphs), tournaments, Planar graphs; geometric and topological aspects of graph theory, Grassmannians, Schubert varieties, flag manifolds A formula for Plücker coordinates associated with a planar network | 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 Grassmann varieties; quadratic Plücker relations Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds On the computation of a reduced set of quadratic Plücker relations describing the Grassmann 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 Clifford geometric algebras; Grassmannians; matroids; Pauli matrices; Plücker relations Exterior algebra, Grassmann algebras, Grassmannians, Schubert varieties, flag manifolds, Clifford algebras, spinors Notes on Plücker's relations in geometric algebra | 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's quadric; linear span; 4-line problem Projective techniques in algebraic geometry, Configurations and arrangements of linear subspaces The linear span of four points in the Plücker's quadric in \(\mathbb P^5\) | 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 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 plane curve; Milnor fibration; mixed Hodge structure; Hodge filtration; Plücker formula; bifurcation set; Betti number; Euler number; critical values at infinity Mixed Hodge theory of singular varieties (complex-analytic aspects), Equisingularity (topological and analytic), Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Milnor fibration; relations with knot theory An affine algebraic type of the Plücker-Milnor formula on \(\mathbb{C}^2\) | 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 Plücker relations; correspondences; Weierstrass points Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus Plücker formulae for curves in high dimensions | 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 Classical problems, Schubert calculus, Projective techniques in algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Commutative semigroups, Grassmannians, Schubert varieties, flag manifolds Quadratic Plücker relations for Hankel 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 intersection theory; enumerative geometry; tropical geometry; Newton polytope; discriminant; Thom polynomial; toric variety; spherical variety Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Homogeneous complex manifolds, Combinatorial aspects of tropical varieties, Toric varieties, Newton polyhedra, Okounkov bodies, Complete intersections, Classical problems, Schubert calculus Characteristic classes of affine varieties and Plücker formulas for affine morphisms | 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 Riemann-Hurwitz formula; Plücker formula; ramification point Coverings of curves, fundamental group, Divisors, linear systems, invertible sheaves A Riemann-Hurwitz-Plücker 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 Singularities of curves, local rings, Plane and space curves Note on equisingularity in codimension 1 and characteristic \(p\neq 0\) | 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; non-reduced curve; complete ideal; algebroid plane curve Nobile, A.: Equisingularity theory for plane curves with embedded points. Pacific J. Math. 170, 543-566 (1995) Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings Equisingularity theory for plane curves with embedded 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 equisingularity of plane curves over the reals Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Other nonalgebraically closed ground fields in algebraic geometry On equisingularity of 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 characteristic \(p\); projective curve; Kähler differentials; Frobenius morphism; Cartier operator Re, R.: The rank of the Cartier operator and linear systems on curves. J. Algebra, 236 (1), 80--92 (2001) Special divisors on curves (gonality, Brill-Noether theory), Divisors, linear systems, invertible sheaves, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials The rank of the Cartier operator and 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 projective curve; étale sheaf; finite Galois covering; explicit formula; Euler-Poincaré characteristic; Drinfeld modular curves Pink, R.: Euler-Poincaré formula in equal characteristic under ordinariness assumptions. Manuscripta Mathematica 102, 1-24 (2000) Curves over finite and local fields, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology Euler-Poincaré formula in equal characteristic under ordinariness assumptions | 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 conjecture; freeness; Grassmannian; equidistribution; lattice Rational points, Asymptotic results on counting functions for algebraic and topological structures, Lattice points in specified regions, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over the reals, the complexes, the quaternions Equidistribution and freeness 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 plane rational curve; Plücker curve; dual curve; Hilbert scheme A.B. Aure , Plücker conditions on plane rational curves , Math. Scand 55 ( 1984 ), 47 - 58 , with Appendix by S.A. Strömme, ibid. 59 - 61 . MR 769024 | Zbl 0578.14029 Singularities of curves, local rings, Projective techniques in algebraic geometry, Parametrization (Chow and Hilbert schemes), Special algebraic curves and curves of low genus Plücker conditions on plane rational 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 isolated determinantal singularities; polar multiplicities; Whitney equisingularity Singularities in algebraic geometry, Equisingularity (topological and analytic), Deformations of complex singularities; vanishing cycles, Deformation of singularities Equisingularity of families of functions on isolated determinantal 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 equisingularity; plane singular curve Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Plane and space curves Algebraic aspects of Zariski's equisingularity in codimension 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 Equisingularity (topological and analytic), Families, moduli of curves (analytic), Singularities of curves, local rings Equisingularity in one-parameter families of generically reduced 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 equisingularity; complete intersection singularities; integral dependence Kleiman, S. L.: Equisingularity, multiplicity, and dependence. Lecture notes in pure and applied math. 206, 211-225 (1991) Equisingularity (topological and analytic), Singularities in algebraic geometry Equisingularity, multiplicity, and dependence | 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 bi-Lipschitz equisingularity; real and complex integral closure; double structure; finite determinacy; canonical vector fields Equisingularity (topological and analytic), Singularities of surfaces or higher-dimensional varieties, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) Real and complex integral closure, Lipschitz equisingularity and applications on square matrices | 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 abelian varieties; linear systems; birational maps Rational and birational maps, Abelian varieties and schemes A note on the linear systems on the projective bundles over 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 apolarity; linear systems on the projective line; Waring's problem; Grassmanian; blow up Divisors, linear systems, invertible sheaves, Configurations and arrangements of linear subspaces, Projective techniques in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds Linear systems on \(\mathbb P^{1}\) with syzygies | 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 Plücker relations; Weyl modules; Drinfeld--Plücker embedding; semi-infinite flag varieties; Weyl modules Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Simple, semisimple, reductive (super)algebras, Lie algebras of Lie groups, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) Semi-infinite Plücker relations and Weyl 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 product-quotient manifolds; finite group actions; invariants Group actions on varieties or schemes (quotients), Automorphisms of surfaces and higher-dimensional varieties, Surfaces of general type, Calabi-Yau manifolds (algebro-geometric aspects) The pluricanonical systems of a product-quotient 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 test ideal; globally generated K. Schwede, A canonical linear system associated to adjoint divisors in characteristic \( p>0\), Journal für die reine und angewandte Mathematik. to appear. Divisors, linear systems, invertible sheaves, Positive characteristic ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure A canonical linear system associated to adjoint divisors in characteristic \(p>0\) | 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 geometric invariant theory Pencils, nets, webs in algebraic geometry, Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds, Algebraic systems of matrices Stable linear systems of skew-symmetric forms of generic rank \(\leq 4\) | 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 blowing-ups of two-dimensional complex manifolds; equisingularity Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) Blowing-ups and bifurcation points. I: The Zariski theorem 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 categorical quotients of projective space; GIT quotients; group actions; linear systems; polarization; semistable points Geometric invariant theory, Group actions on varieties or schemes (quotients), Divisors, linear systems, invertible sheaves Linear systems and quotients of 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 singularities; Lê numbers Gaffney, T; Vohra, R, A numerical characterization of equisingularity for map germs from \(n\)-space, \((n \geq 3)\), to the plane, J. Dyn. Syst. Geom. Theor., 2, 43-55, (2004) Computational aspects of algebraic surfaces, Euclidean analytic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) A numerical characterization of equisingularity for map germs from \(n\)-space, \((n\geq 3)\), to 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 base locus of a linear system of quadrics Divisors, linear systems, invertible sheaves, Projective and enumerative algebraic geometry, Questions of classical algebraic geometry On the individuation of the basis 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 fat point; cubic Cremona transformation; linear systems; projective space C. De Volder and A. Laface, On linear systems of {\mathbb{P}^{3}} through multiple points, J. Algebra 310 (2007), 207-217. Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, \(3\)-folds On linear systems of \(\mathbb P^3\) through multiple 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 semistable sheaves; Mehta-Ramanathan theorem Vector bundles on curves and their moduli A Mehta-Ramanathan theorem for linear systems with basepoints | 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 dual varieties; Euler obstructions; Milnor numbers; Chern-Schwartz-MacPherson classes Yutaka Matsui & Kiyoshi Takeuchi, Generalized Plücker-Teissier-Kleiman formulas for varieties with arbitrary dual defect, Real and complex singularities, World Scientific, 2007, p. 248-270 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Projective techniques in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Generalized Plücker-Teissier-Kleiman formulas for varieties with arbitrary dual defect | 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; non-algebraically closed ground fields; equiresolution class; Apery basis Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Other nonalgebraically closed ground fields in algebraic geometry Equisingularity invariants of 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 curves equisingularity; space curves; Lagrangian curve; desingularization Neto ( O. ) .- Equisingularity and Legendrian curves , Bull. London Math. Soc. 33, p. 527 - 534 ( 2001 ). MR 1844549 | Zbl 1032.58028 Topological invariants on manifolds, Singularities in algebraic geometry, Equisingularity (topological and analytic) Equisingularity and Lagrangean 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 semistable vector bundles; moduli; Beauville's conjecture; theta map; complex projective curve Brivio, S.; Verra, A., \textit{Plücker forms and the theta map}, Amer. J. Math., 134, 1247-1273, (2012) Vector bundles on curves and their moduli, Theta functions and curves; Schottky problem Plücker forms and the theta 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 algebra; projective geometry; Nicole; Clairaut; de Gua de Malves; Cramer; Euler; Gauss History of mathematics in the 18th century, History of mathematics in the 19th century, History of geometry, History of algebraic geometry Algebra in the geometry from Newton to Plücker | 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 linearization; algebraic group; equivariant line bundle; affine space Kraft, H; Kutzschebauch, F, Affine line bundles and linearization, Math. Res. Lett., 3, 619-627, (1996) Holomorphic bundles and generalizations Equivariant affine line bundles and linearization | 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 equianalytic families of curves; equisingular families of curves Lossen , C. ( 1998 ) . The geometry of equisingular and equianalytic families of curves on a surface . Ph.D. thesis, FB Mathematik, Universität Kaiserslautern. http://www.mathematik.uni-kl.de/lossen/download/Lossen002/Lossen002.ps.gz . Singularities of curves, local rings, Global theory and resolution of singularities (algebro-geometric aspects), Surfaces and higher-dimensional varieties, Families, moduli of curves (algebraic) The geometry of equisingular and equianalytic families of curves on 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 equisingularity; plane curve; positive characteristic; equisingular curves; tree of desingularization; unique factorization domain DOI: 10.1080/00927879808826273 Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Plane and space curves, Families, moduli of curves (algebraic) Zariski's equisingularity for families of plane curves 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 evaluating elliptic functions at torsion points DOI: 10.1112/plms/s3-62.1.121 Elliptic curves, Parametrization (Chow and Hilbert schemes), Elliptic and modular units A generalization of a formula of Eisenstein | 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 special divisor; Clifford's theorem; gonality \textsc{T. Harui}, Automorphism groups of plane curves, arXiv:1306.5842v2. Special divisors on curves (gonality, Brill-Noether theory) A theorem of Clifford type for 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 flips; moduli theory of vector bundles; conformal quantum field theories; dimension formula; Verlinde formula; theta functions; Verlinde space M. Thaddeus, Stable pairs, linear systems and the Verlinde formula, Invent. Math. 117 (1994), 317-353. Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, Divisors, linear systems, invertible sheaves, Classical real and complex (co)homology in algebraic geometry, Deformations of fiber bundles Stable pairs, linear systems and the Verlinde 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 Grassmannian technique; hyperbolicity; Kobayashi conjecture; Seshadri constants Divisors, linear systems, invertible sheaves Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants | 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 deformation; plane curve singularity, Milnor number Campillo, A., Greuel, G.-M., Lossen, C.: Equisingular calculations for plane curve singularities. J. Symb. Comput. 42(1-2), 89-114 (2007). Zbl 1128.14003 Deformations of singularities, Singularities of curves, local rings, Computational aspects of algebraic curves Equisingular calculations for plane curve 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 singularities; topological equisingularity; Lê numbers Fernández de Bobadilla, Javier, Topological equisingularity of hypersurfaces with 1-dimensional critical set, Adv. Math., 0001-8708, 248, 1199-1253, (2013) Equisingularity (topological and analytic), Singularities of surfaces or higher-dimensional varieties, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants Topological equisingularity of hypersurfaces with 1-dimensional critical set | 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 linear systems of quadrics Divisors, linear systems, invertible sheaves, Families, moduli, classification: algebraic theory On linear systems of reducible and irreducible 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 Vector bundles on curves and their moduli Rational curves in Grassmannians and their Plücker embeddings: an application | 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 syzygy; linear systems; Clifford index; Green's conjecture; hyper-elliptic curves Special algebraic curves and curves of low genus, Special divisors on curves (gonality, Brill-Noether theory), Elliptic curves, Vector bundles on curves and their moduli On a conjecture on 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 bi-Lipschitz equisingularity; double of an ideal; canonical vector field Equisingularity (topological and analytic), Singularities of surfaces or higher-dimensional varieties, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) The bi-Lipschitz equisingularity of essentially isolated determinantal 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 2\(\theta\)-linear system on an abelian variety; semistable vector bundles; of rank 2; projective nonsingular curve; genus M. S. Narasimhan and S. Ramanan, 2\?-linear systems on abelian varieties, Vector bundles on algebraic varieties (Bombay, 1984) Tata Inst. Fund. Res. Stud. Math., vol. 11, Tata Inst. Fund. Res., Bombay, 1987, pp. 415 -- 427. Algebraic moduli of abelian varieties, classification, Theta functions and abelian varieties, Elliptic curves 2\(\theta\)-linear systems on 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 equianalytic singularity; flat families of embedded reduced curves; number of singular points; Hilbert scheme; singularities of given analytic type Greuel G.-M., Lossen C.,Equianalytic and equisingular families of curves on surfaces, Manuscripta Math.,91 (1996), 323--342. Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Singularities of curves, local rings, Equisingularity (topological and analytic) Equianalytic and equisingular families of curves on 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 equivariant Pieri's formula; equivariant Giambelli's formula ----, A formalism for equivariant Schubert calculus Algebra Number Theory 3 (2009), 711-727. Classical problems, Schubert calculus, Equivariant algebraic topology of manifolds, Grassmannians, Schubert varieties, flag manifolds A formalism for equivariant 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 bi-Lipschitz equisingularity; Whitney stratification; analytic variety; semialgebraic sets; subanalytic sets; o-minimal structures Equisingularity (topological and analytic), Semialgebraic sets and related spaces, Real-analytic and semi-analytic sets, Analytic subsets of affine space, Semi-analytic sets, subanalytic sets, and generalizations, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Stratified sets Bi-Lipschitz 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 Zariski's multiplicity conjecture; topological V-equivalent; topologically equisingular; Le number; aligned singularities Eyral C., IMPAN Lecture Notes 3, in: Topics in Equisingularity Theory (2016) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Singularities in algebraic geometry, Deformations of singularities, Global theory and resolution of singularities (algebro-geometric aspects), Equisingularity (topological and analytic), Milnor fibration; relations with knot theory Topics in equisingularity 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 \(d\)-gonal curve; linear system; scrollar invariants DOI: 10.1080/00927879308824818 Special algebraic curves and curves of low genus, Divisors, linear systems, invertible sheaves Very ampleness of multiple of tetragonal 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 projective space quadrics system; intersection Quadratic and bilinear forms, inner products, Jacobians, Prym varieties, Projective techniques in algebraic geometry 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 Divisors, linear systems, invertible sheaves, Plane and space curves, Rational and ruled surfaces A deformation theory approach to linear systems with general triple 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 convexity; Grassmannian; perfect Morse function; Plücker embedding; taut embedding Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Grassmannians, Schubert varieties, flag manifolds, Eigenvalues, singular values, and eigenvectors Morse theoretic aspects of Plücker embeddings | 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 Greuel, G-M; Lossen, C; Shustin, E; Catanese, F (ed.); etal., Equisingular families of projective curves, 171-209, (2006), Berlin Families, moduli of curves (algebraic), Singularities of curves, local rings Equisingular families of 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 family of curves; relative canonical bundle; very ampleness Families, moduli of curves (algebraic), Arithmetic ground fields (finite, local, global) and families or fibrations, Divisors, linear systems, invertible sheaves On pluri-canonical systems of arithmetic surfaces | 0 |
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