Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces

DOI10.1016/j.jalgebra.2007.04.027zbMath1126.14005arXivmath/0507470OpenAlexW2594292076MaRDI QIDQ2460006

Marc A. Nieper-Wisskirchen, Samuel Boissière

Publication date: 9 November 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507470

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Parametrization (Chow and Hilbert schemes) (14C05) Cycles and subschemes (14C99)

Related Items (2)

Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence ⋮ Extension groups of tautological sheaves on Hilbert schemes

Cites Work

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• On the McKay correspondences for the Hilbert scheme of points on the affine plane
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Chern classes of tautological sheaves on Hilbert schemes of points on surfaces
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• The Douady space of a complex surface
• Symmetric groups and the cup product on the cohomology of Hilbert schemes.
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• Algebraic Families on an Algebraic Surface
• Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane

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