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

Part of: Computational aspects in algebraic geometry Homology and cohomology theories Combinatorics Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  01 March 2016

Simon Kapfer
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.

MSC classification

Primary: 14J10: Families, moduli, classification 14Q15: Higher-dimensional varieties
Secondary: 05A17: Partitions of integers 55N32: Orbifold cohomology
Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 19 , Issue 1 , 2016 , pp. 78 - 97
Copyright
© The Author 2016 

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