Displaying similar documents to “On a birational classification of bundles and reflexive sheaves on surfaces”

On the cohomological strata of families of vector bundles on algebraic surfaces

Edoardo Ballico (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note we study certain natural subsets of the cohomological stratification of the moduli spaces of rank 2 vector bundles on an algebraic surface. In the last section we consider the following problem: take a bundle E given by an extension, how can one recognize that E is a certain given bundle? The most interesting case considered here is the case E = T ⁢ P 3 ⁢ t since it applies to the study of codimension 1 meromorphic foliations with singularities on P 3 .

Holomorphic rank-2 vector bundles on non-Kähler elliptic surfaces

Vasile Brînzănescu, Ruxandra Moraru (2005)

Annales de l’institut Fourier

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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.

Threefolds with nef anticanonical bundles.

Thomas Peternell, Fernando Serrano (1998)

Collectanea Mathematica

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In this paper we study the global structure of projective threefolds X whose anticanonical bundle -KX is nef.