Algebraic Families on an Algebraic Surface

1968/04/01 by John Fogarty · 75 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Meromorphic and Entire Functions

paper · doi:10.2307/2373541

Cited by

• Hilbert schemes for crepant partial resolutions
• Tangent bundle of punctual Hilbert scheme and distinguishing products of varieties
• Hilbert-Chow morphism for non commutative Hilbert schemes and moduli spaces of linear representations
• Sections de la puissance symetrique du fibre tautologique sur le schema de Hilbert ponctuel d'une surface
• Topological properties of punctual Hilbert schemes of symplectic 4-dimensional manifolds
• On the Gorenstein locus of some punctual Hilbert schemes
• Symmetric products of a semistable degeneration of surfaces
• On the universal family of Hilbert schemes of points on a surface
• Variation of moduli spaces and Donaldson invariants under change of polarization
• Families of 0-dimensional submanifolds on supercurves
• A conjectural generalization of n! result to arbitrary groups
• Restrictions of Steiner bundles and divisors on the Hilbert scheme of\n points in the plane
• An example of an Sl₂-Hilbert scheme with multiplicities
• Instantons and affine algebras I: The Hilbert scheme and vertex operators
• Elliptic Genera of Singular Varieties
• Hilbert schemes, Hecke algebras and the Calogero-Sutherland system
• A small deformation and modifications of locally conformally balanced manifolds
• Extension groups of tautological sheaves on Hilbert schemes
• Calculation of Rozansky-Witten invariants on the Hilbert schemes of points on a K3 surface and the Generalised Kummer varieties
• The cotangent space at a monomial ideal of the Hilbert scheme of points of an affine space
• On the Chern numbers of the generalised Kummer varieties
• Hilbert schemes of points via McKay correspondences
• On the irreducibility of Severi varieties on K3 surfaces
• On the fundamental group of a variety with quotient singularities
• Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology
• A local version of Gotzmann's Persistence
• Newton-Okounkov bodies for nested Hilbert schemes
• Local Equations for Hilbert Schemes of Points
• The Chow groups and the motive of the Hilbert scheme of points on a surface
• Nested Hilbert schemes and the nested q,t-Catalan series
• On a C. de Boor's Conjecture in a Particular Case and Related Perturbation
• Rank 2 vector bundles and degrees of points of del Pezzo surfaces
• On maximality of involutions of hyper-Kähler manifolds and punctual Hilbert schemes of surfaces
• Higher Complex Structures and Flat Connections
• Nilpotent slices, Hilbert schemes, and the Jones polynomial
• Hirzebruch-Riemann-Roch Formulae on Irreducible Symplectic Kähler Manifolds
• Counting points on Hilb^mℙ² over function fields
• Invariant Hilbert Schemes and Luna's Etale Slice Theorem
• Stability of tautological vector bundles on Hilbert squares of surfaces
• Multigraded Hilbert Schemes
• A proof of the Briançon-Iarrobino Conjecture in three dimensions
• The Iarrobino scheme: a self-dual analogue of the Hilbert scheme of points
• Moduli of linear representations, symmetric products and the non commutative Hilbert scheme
• Combinatorial duality of Hilbert schemes of points in the affine plane
• Hilbert schemes, wreath products, and the McKay correspondence
• Automorphisms of punctual Hilbert schemes and symmetric powers of varieties
• Higher complex structures
• Refined Hilbert schemes, E-polynomials, and the number of generators of finite colength ideals in the plane
• K-Theory of Hilbert Schemes as a Formal Quantum Field Theory
• Symplectic resolutions of the Hilbert squares of ADE surface singularities
• Characteristic classes of the Hilbert schemes of points on non-compact simply-connected surfaces
• Autoduality of compactified Jacobians for curves with plane singularities
• Families of space curves with large cohomology
• On the Cobordism Class of the Hilbert Scheme of a Surface
• Compatibly split subvarieties of the Hilbert scheme of points in the\n plane
• Irreducibility of the Gorenstein locus of the punctual Hilbert scheme of\n degree 10
• Some syzygies of the generators of the ideal of a border basis scheme
• Ideal Projectors of Type Partial Derivative and Their Perturbations
• The Hilbert scheme of 11 points in A³ is irreducible
• On the smoothness of the scheme of linear representations and the\n Nori-Hilbert scheme of an associative algebra
• Birational geometry of moduli spaces of sheaves and Bridgeland stability
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• Tensor products of tautological bundles under the\n Bridgeland-King-Reid-Haiman equivalence
• On the homeomophism type of smooth projective fourfolds
• Elementary proof of reducedness of Hilbert schemes of points in higher\n dimensions
• New components of Hilbert schemes of points and 2-step ideals
• Inducing coverings on Hilbert schemes
• Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces
• Dependent subsets of embedded projective varieties
• McKay correspondence and Hilbert schemes in dimension three
• Rozansky-Witten invariants of hyperkähler manifolds
• Moduli of Sheaves on Surfaces and Action of the Oscillator Algebra
• Gromov-Witten theory of Hilbⁿ(ℂ²) and Noether-Lefschetz theory of A_g
• Computation of the first Chow group of a Hilbert scheme of space curves
• Automorphismes naturels de l'espace de Douady de points sur une surface