搜索结果: 1-11 共查到“数学 Hilbert schemes”相关记录11条 . 查询时间(0.042 秒)
Euler Characteristics of Tautological Sheaves on Hilbert Schemes of Points
Euler Characteristics Tautological Sheaveas Hilbert Schemes of Points
2015/3/24
Professor Chern recruited geometers, physicists and combinatorists to work at Nankai Institute of Mathematics (now Chern Institute of Mathematics).
Characteristic classes of Hilbert schemes of points via symmetric products
Hilbert scheme symmetric product generating series power structure Pontrjagin ring motivic exponentiation characteristic classes
2012/4/18
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of points for a smooth quas...
VersalDeformations - a package for computing versal deformations and local Hilbert schemes
VersalDeformations local Hilbert schemes versal deformations Algebraic Geometry
2011/9/5
Abstract: We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hilbert schem...
A support theorem for Hilbert schemes of planar curves
Hilbert schemes planar curves Algebraic Geometry
2011/9/5
Abstract: Consider a family of integral complex locally planar curves whose relative Hilbert scheme of points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts that the...
Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces
Exchange perverse weight filtration Hilbert schemes points of two surfaces
2011/1/21
We show that a natural isomorphism between the rational cohomology groups of the two zero-dimensional Hilbert schemes of n-points of two surfaces, the affine plane minus the axes and the cotangent bun...
The classes of the quasihomogeneous Hilbert schemes of points on the plane
the quasihomogeneous Hilbert schemes math
2010/11/23
In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of $(1,k)$-quasi-homogeneous Hilbert schemes of points on th...
Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
Characterizing projective spaces deformations Hilbert schemes of K3 surfaces
2010/11/11
We seek to characterize homology classes of Lagrangian projective spaces embedded in irreducible holomorphic-symplectic manifolds, up to the action of the monodromy group. This paper addresses the ca...
Heisenberg categorification and Hilbert schemes
Heisenberg categorification Hilbert schemes
2010/12/13
Given a finite subgroup SL2(C) we define an additive 2-category H whose Grothendieck
group is isomorphic to an integral form h of the Heisenberg algebra. We construct...
Hilbert schemes of points on a locally planar curve and the Severi strata of its versal deformation
Hilbert schemes of points locally planar curve Severi strata of its versal deformation
2010/11/30
Let C be a locally planar curve. Its versal deformation admits a stratification by the genera of the fibres. The strata are singular; we show that their multiplicities at the central
point are determ...
The Standard Conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces
Standard Conjectures holomorphic symplectic varieties deformation Hilbert schemes of K3 surfaces
2010/11/29
We prove the standard conjectures for complex projective varieties that are deformations of the Hilbert scheme of points on a K3 surface. The proof involves Verbitsky’s theory of hyperholomorphic shea...
On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces
Hilbert schemes projective surfaces Gromov-Witten invariants
2010/3/1
We compute certain 1-point genus-0 Gromov-Witten invariants of the Hilbert scheme of points on a simply-connected smooth projective surface.