Sections de la puissance tensorielle du fibré tautologique sur le schéma de Hilbert des points d'une surface

DOI10.1112/blms/bdl035zbMath1122.14002arXivmath/0104005OpenAlexW2116443725WikidataQ126261734 ScholiaQ126261734MaRDI QIDQ5297616

Gentiana Danila

Publication date: 12 July 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0104005

zbMATH Keywords

symmetric groupprojective surfaceHilbert scheme of pointsDonaldson determinant bundle

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (9)

A remark on global sections of secant bundles of curves ⋮ Hilbert squares of \(K3\) surfaces and Debarre-Voisin varieties ⋮ Big and nef tautological vector bundles over the Hilbert scheme of points ⋮ Some families of big and stable bundles on \(K3\) surfaces and on their Hilbert schemes of points ⋮ Euler characteristics of tautological bundles over Quot schemes of curves ⋮ Singularities and syzygies of secant varieties of nonsingular projective curves ⋮ Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence ⋮ The virtual \(K\)-theory of Quot schemes of surfaces ⋮ Extension groups of tautological sheaves on Hilbert schemes

Cites Work

• Unnamed Item
• Sections du fibré déterminant sur l'espace de modules des faisceaux semi-stables de rang 2 sur le plan projectif. (Sections of the determinant bundle on the moduli space of rank 2 semi-stable sheaves on the projective plane)
• Algebraic Families on an Algebraic Surface

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