English

The cup product of the Hilbert scheme for K3 surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

To any graded Frobenius algebra A we associate a sequence of graded Frobenius algebras A^[n] in such a way that for any smooth projective surface X with trivial canonical divisor there is a canonical isomorphism of rings between (H*X)^[n] and the cohomology H*(X^[n]) of the n-th Hilbert scheme of X.

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Cite

@article{arxiv.math/0012166,
  title  = {The cup product of the Hilbert scheme for K3 surfaces},
  author = {Manfred Lehn and Christoph Sorger},
  journal= {arXiv preprint arXiv:math/0012166},
  year   = {2007}
}

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22 pages