Andrei Negut: The Chow of $S^{[n]}$ and the universal subscheme, 385-394

Abstract:

We prove that any element in the Chow ring of the Hilbert scheme Hilb_n of n points on a smooth surface $S$ is a universal class, i.e. the push-forward of a polynomial in the Chern classes of the universal subschemes on Hilb_n x S^K for some $k \in \BN$N, with coefficients pulled back from the Chow of $S^k$.

Key Words: Hilbert schemes of points on surfaces, algebraic cycles.

2010 Mathematics Subject Classification: Primary 14C05.