Birational properties of moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces

DOI10.1007/BF02568273zbMath0751.14002OpenAlexW2015742389MaRDI QIDQ1176274

Zhenbo Qin

Publication date: 25 June 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155636

zbMATH Keywords

Chern classminimal surface of general typeHilbert scheme of zero cyclestrivial polarisations

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Rational and birational maps (14E05) Surfaces of general type (14J29)

Related Items (15)

Moduli spaces of stable rank-2 bundles on ruled surfaces ⋮ A CRITERION FOR GETTING A BIG COMPONENT OF THE MODULI OF VECTOR BUNDLES BY CHANGING A POLARIZATION ⋮ Prioritary omalous bundles on Hirzebruch surfaces ⋮ Moduli of high rank vector bundles over surfaces ⋮ Transitions in the web of heterotic vacua ⋮ The Kodaira dimension and singularities of moduli of stable sheaves on some elliptic surfaces ⋮ Stable rank-2 bundles on simply connected elliptic surfaces ⋮ Moduli of reflexive sheaves on smooth projective 3-folds ⋮ On the rationality of moduli spaces of vector bundles on Fano surfaces ⋮ On complex surfaces diffeomorphic to rational surfaces ⋮ Complete curves in moduli spaces of stable bundles on surfaces ⋮ On smooth structures of potential surfaces of general type homeomorphic to rational surfaces ⋮ Kodaira dimension of moduli space of vector bundles on surfaces ⋮ On translated rank-\(2\) Brill-Noether loci on regular surfaces ⋮ Equivariant sheaves.

Cites Work

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• Polynomial invariants for smooth four-manifolds
• Chamber structures of algebraic surfaces with Kodaira dimension zero and moduli spaces of stable rank-two bundles
• Rank two vector bundles over regular elliptic surfaces
• Moduli spaces of stable rank-2 bundles on ruled surfaces

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