Holomorphic vector bundles over compact complex surfaces

DOI10.1007/BFb0093696zbMath0848.32024MaRDI QIDQ1912497

Vasile Brînzănescu

Publication date: 12 May 1996

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

moduli spacevector bundleNeron-Severi groupcomplex compact surface

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Compact complex surfaces (32J15)

Related Items (23)

Nonabelian Hodge theory for Fujiki class 𝒞 manifolds ⋮ Algebraic methods for vector bundles on non-Kähler elliptic fibrations ⋮ RATIONAL FAMILIES OF VECTOR BUNDLES ON CURVES ⋮ Rank-two vector bundles on Hirzebruch surfaces ⋮ Positivity, vanishing theorems and rigidity of codimension one holomorphic foliations ⋮ Moduli spaces of stably irreducible sheaves on Kodaira surfaces ⋮ A note on non-filtrable holomorphic bundles. ⋮ Rank-two vector bundles on non-minimal ruled surfaces ⋮ A Hilbert bundle characterization of Hilbert C*-modules ⋮ Two-dimensional moduli spaces of vector bundles over Kodaira surfaces ⋮ Holomorphic vector bundles on non-algebraic tori of dimension 2 ⋮ The structure of vector bundles on non-primary Hopf manifolds ⋮ A note on vector bundles on Hirzebruch surfaces ⋮ Stable bundles on non-Kähler elliptic surfaces ⋮ Some results about holomorphic vector bundles over general Hopf manifolds ⋮ Moduli of simple holomorphic pairs and effective divisors ⋮ Stability and holomorphic connections on vector bundles over LVMB manifolds ⋮ Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces. ⋮ Generalized complex structures on Kodaira surfaces ⋮ Globally invertible differentiable or holomorphic maps ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry ⋮ Irreducible vector bundles on some elliptic non-Kähler threefolds ⋮ On translated rank-\(2\) Brill-Noether loci on regular surfaces

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