2000 character limit reached
The integral cohomology of the Hilbert scheme of points on a surface (1912.13218v1)
Published 31 Dec 2019 in math.AG and math.AT
Abstract: We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme X[n] has torsion-free cohomology for every natural number n. This extends earlier work by Markman on the case of Poisson surfaces. The proof uses Gholampour-Thomas's reduced obstruction theory for nested Hilbert schemes of surfaces.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
