Generic smoothness of the moduli spaces of rank two stable vector bundles over algebraic surfaces

DOI10.1007/BF02571412zbMath0735.14009MaRDI QIDQ1813043

Kang Zuo

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174293

zbMATH Keywords

Chern classmoduli spacedifferentiable structure of algebraic surfacesfixed determinant bundleinfinitesimal deformation spacerank-2 stable vector bundles

Mathematics Subject Classification ID

Related Items (15)

Ulrich bundles on rational surfaces with an anticanonical pencil ⋮ A CRITERION FOR GETTING A BIG COMPONENT OF THE MODULI OF VECTOR BUNDLES BY CHANGING A POLARIZATION ⋮ Vector bundles, reflexive sheaves and algebraic surfaces ⋮ Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface ⋮ On the geometry of moduli spaces of anti-self-dual connections ⋮ Seminatural bundles of rank two, degree one, and \(c_{2}=10\) on a quintic surface ⋮ Rank-two vector bundles on non-minimal ruled surfaces ⋮ Stable Vector Bundles on Algebraic Surfaces ⋮ OBSTRUCTED BUNDLES OF RANK TWO ON A QUINTIC SURFACE ⋮ On the moduli of reflexive sheaves on a surface with rational double points ⋮ Rank 2 vector bundles in a neighborhood of an exceptional curve of a smooth surface ⋮ On the rationality of moduli spaces of vector bundles on Fano surfaces ⋮ Geometry of some moduli of bundles over a very general sextic surface for small second Chern classes and Mestrano-Simpson conjecture ⋮ Lagrangian subvarieties of the moduli space of stable vector bundles on a regular algebraic surface with \(p_ g>0\) ⋮ Kodaira dimension of moduli space of vector bundles on surfaces

Cites Work

• \(\Gamma\)-type-invariants associated to PU(2)-bundles and the differentiable structure of Barlow's surface
• On manifolds homeomorphic to \({\mathbb{C}}P^ 2\#8\overline{{\mathbb{C}}P}^ 2\)
• Polynomial invariants for smooth four-manifolds
• Rank two vector bundles over regular elliptic surfaces
• On the moduli of vector bundles on an algebraic surface
• Spectral curves and the generalised theta divisor.
• Stable vector bundles on an algebraic surface

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