Displaying similar documents to “Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces”

Vector bundles on manifolds without divisors and a theorem on deformations

Georges Elencwajg, O. Forster (1982)

Annales de l'institut Fourier

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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.

Remarks on Seshadri constants of vector bundles

Christopher Hacon (2000)

Annales de l'institut Fourier

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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.

Rank-two vector bundles on Hirzebruch surfaces

Marian Aprodu, Vasile Brînzănescu, Marius Marchitan (2012)

Open Mathematics

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We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.