The cup product of the Hilbert scheme for K3 surfaces
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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