Stability of tautological bundles on the Hilbert scheme of two points on a surface

DOI10.1215/00277630-2416410zbMath1319.14049arXiv1202.6528OpenAlexW3106208148MaRDI QIDQ5169718

Malte Wandel

Publication date: 11 July 2014

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

Full work available at URL: https://arxiv.org/abs/1202.6528

zbMATH Keywords

tautological sheavesHilbert squares of \(K3\) surfacesstable sheaves on higher-dimensional holomorphic symplectic varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (4)

Hilbert squares of \(K3\) surfaces and Debarre-Voisin varieties ⋮ Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces ⋮ Remarks on the derived McKay correspondence for Hilbert schemes of points and tautological bundles ⋮ Examples of smooth components of moduli spaces of stable sheaves

Cites Work

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• Stability of tautological vector bundles on Hilbert squares of surfaces
• Some remarks on tautological sheaves on Hilbert schemes of points on a surface
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface

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