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Computing cup products in integral cohomology of Hilbert schemes of points on K3 surfaces

Published online by Cambridge University Press:  01 March 2016

Simon Kapfer*
Affiliation:
Laboratoire de Mathématiques et Applications, UMR CNRS 6086, Université de Poitiers, Téléport 2, Boulevard Marie et Pierre Curie, F-86962 Futuroscope Chasseneuil, France email simon.kapfer@math.univ-poitiers.fr

Abstract

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We study cup products in the 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 of which classes can be represented by products of lower degrees.

Supplementary materials are available with this article.

Type
Research Article
Copyright
© The Author 2016 

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