Cohomology of the Hilbert scheme of points on a surface with values in representations of tautological bundles

DOI10.1215/00127094-2009-050zbMath1211.14012arXiv0710.3072OpenAlexW2112291245MaRDI QIDQ602052

Luca Scala

Publication date: 29 October 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3072

zbMATH Keywords

cohomologyHilbert schemes of pointstautological bundles

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Parametrization (Chow and Hilbert schemes) (14C05)

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Higher rank Segre integrals over the Hilbert scheme of points ⋮ \(S_n\)-equivariant sheaves and Koszul cohomology ⋮ Equivariant characteristic classes of external and symmetric products of varieties ⋮ Some families of big and stable bundles on \(K3\) surfaces and on their Hilbert schemes of points ⋮ Extension groups of tautological bundles on symmetric products of curves ⋮ Towards generic base-point-freeness for hyperkähler manifolds of generalized Kummer type ⋮ Euler characteristics of tautological bundles over Quot schemes of curves ⋮ Formality of -objects ⋮ Refined curve counting on complex surfaces ⋮ Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence ⋮ On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors ⋮ Notes on diagonals of the product and symmetric variety of a surface ⋮ Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles ⋮ The virtual \(K\)-theory of Quot schemes of surfaces ⋮ On the derived category of the Hilbert scheme of points on an Enriques surface ⋮ Bundles of generalized theta functions over abelian surfaces ⋮ Universal functors on symmetric quotient stacks of abelian varieties ⋮ Extension groups of tautological sheaves on Hilbert schemes ⋮ K-theoretic descendent series for Hilbert schemes of points on surfaces

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