Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Cited by
1 articles.
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1. RIGID STABLE VECTOR BUNDLES ON HYPERKÄHLER VARIETIES OF TYPE;Journal of the Institute of Mathematics of Jussieu;2023-12-22