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The cup product of the Hilbert scheme for K3 surfaces

Manfred Lehn·Christoph Sorger
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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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BibTeXRIS

Manfred Lehn, Christoph Sorger. 2000-12-18. The cup product of the Hilbert scheme for K3 surfaces. https://arxiv.org/abs/math/0012166

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