On rank two vector bundles on an algebraic surface.

Edoardo Ballico

Displaying similar documents to “On rank two vector bundles on an algebraic surface.”

Some properties of stable rank 2 bundles on algebraic surfaces.

Edoardo Ballico, Luca Chiantini (1992)

Forum mathematicum

Similarity:

Rank 4 vector bundles on the quintic threefold

Carlo Madonna (2005)

Open Mathematics

Similarity:

By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...

Stable Rank 2 Bundles on IP3 with c1 = 0, c2 = 4, and .... = 1.

Mei-Chu Chang (1983)

Mathematische Zeitschrift

Similarity:

Rank-two vector bundles on Hirzebruch surfaces

Marian Aprodu, Vasile Brînzănescu, Marius Marchitan (2012)

Open Mathematics

Similarity:

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

Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians

Svetlana Ermakova (2015)

Complex Manifolds

Similarity:

In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.

Rank-2 Vector Bundles on a Ruled Surface II.

Eric J. Brosius (1984)

Mathematische Annalen

Similarity:

Rank-2 Vector Bundles on a Ruled Surface. I.

J. Eric Brosius (1983)

Mathematische Annalen

Similarity:

On the Gieseker-Petri Map for Rank 2 vector bundles.

Montserrat Teixidor i Bigas (1992)

Manuscripta mathematica

Similarity:

Complete families of rank 2 stable vector bundles on algebraic surfaces.

Edoardo Ballico (1994)

Forum mathematicum

Similarity:

Holomorphic vector bundles on $ℙ_{n}$

Michael Schneider (1978-1979)

Séminaire Bourbaki

Similarity:

Some results on the existence of rank two special stable vector bundles.

Tan Xiao-Jiang (1992)

Manuscripta mathematica

Similarity:

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

Similarity:

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 $P^{3}$ .