Locally free resolutions of coherent sheaves on surfaces.

DOI10.1515/crll.1982.337.159zbMath0499.32020OpenAlexW4205721081MaRDI QIDQ3964878

Hans Werner Schuster

Publication date: 1982

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002199998

zbMATH Keywords

K3 surfacesCoherent sheaveslocally free resolutions

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Compact complex surfaces (32J15) Holomorphic bundles and generalizations (32L05) Special surfaces (14J25)

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Algebraic methods for vector bundles on non-Kähler elliptic fibrations ⋮ Examples of coherent sheaves with no resolution by locally free sheaves in dimension 3 ⋮ Holomorphic vector bundles on non-algebraic tori of dimension 2 ⋮ Automorphisms and autoequivalences of generic analytic \(K3\) surfaces ⋮ Chern classes in Deligne cohomology for coherent analytic sheaves ⋮ Some aspects of the Hodge conjecture ⋮ Bounded derived categories of very simple manifolds ⋮ The resolution property of algebraic surfaces