The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces-Reference-Cited by-同舟云学术

The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces

Published:2013-02-07 Issue:3 Volume:149 Page:481-494
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Charles François,Markman Eyal

Abstract

AbstractWe 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 sheaves and a study of the cohomology algebra of Hilbert schemes of K3 surfaces.

Publisher

Wiley

Subject

Algebra and Number Theory

Reference23 articles.

1. Duality between D(X) and with its application to picard sheaves

2. Integral generators for the cohomology ring of moduli spaces of sheaves over Poisson surfaces

3. E. Markman , The Beauville–Bogomolov class as a characteristic class, Electronic preprint, arXiv:1105.3223.

4. Numerical and Homological Equivalence of Algebraic Cycles on Hodge Manifolds

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