Generators for the cohomology ring of Hilbert schemes of points on surfaces

2000/09/30 by Wei-ping Li, Zhenbo Qin, Weiqiang Wang
Mathematics · #math.AG #math.QA

paper · pdf

published as Intern. Math. Res. Notices 20 (2001) 1057--1074 · v2, amstex, minor changes, published version

arxiv created 2001/11/05 · arxiv updated 2009/11/30

Abstract

Using the methods developed in [LQW], math.AG/0009132, we obtain a second set of generators for the cohomology ring of the Hilbert scheme of points on an arbitrary smooth projective surface over the field of complex numbers. These generators have clear and simple geometric as well as algebraic descriptions.

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