Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces

Abstract

We study cup products in integral cohomology of the Hilbert scheme of $n$ points on a K3 surface and present a computer program for this purpose. In particular, we deal with the question, which classes can be represented by products of lower degrees.

19 pages

References in corpus (1)

• Smith theory and irreducible holomorphic symplectic manifolds

Cited by in corpus (2)

• Integral cohomology of quotients via toric geometry
• Symmetric Powers of Symmetric Bilinear Forms, Homogeneous Orthogonal Polynomials on the Sphere and an Application to Compact Hyperkähler Manifolds