Chern classes of the tangent bundle on the Hilbert scheme of points on the affine plane

DOI10.1090/S1056-3911-05-00412-1zbMath1120.14002arXivmath/0410458MaRDI QIDQ5718710

Samuel Boissière

Publication date: 16 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0410458

zbMATH Keywords

Chern classestangent bundleuniversal formulasHilbert scheme. Fock space

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Characteristic classes and numbers in differential topology (57R20) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items

Generating functions of orbifold Chern classes I: symmetric products, Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence, Universal formulas for characteristic classes on the Hilbert schemes of points on surfaces, M-strings, Generating Series in the Cohomology of Hilbert Schemes of Points on Surfaces

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
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• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• 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
• Sur l'anneau de cohomologie du schéma de Hilbert de
• Le théorème de Riemann-Roch
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