The sum of the Betti numbers of smooth Hilbert schemes

DOI10.1007/s10801-021-01055-5zbMath1485.14006arXiv2012.01360OpenAlexW3204615341MaRDI QIDQ2114800

Monica Lewis, Tim Ryan, Faustas Udrenas, Zijian Zhang, Joseph S. Donato

Publication date: 15 March 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.01360

zbMATH Keywords

cohomologyhomologyHilbert schemeBetti numbersaturated monomial ideal

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• On the homology of the Hilbert scheme of points in the plane
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Symmetric groups and the cup product on the cohomology of Hilbert schemes.
• Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• Some theorems on actions of algebraic groups
• The Chow ring of punctual Hilbert schemes on toric surfaces
• More lectures on Hilbert schemes of points on surfaces
• Algebraic Families on an Algebraic Surface
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