Svetlana Ermakova (2015)
Complex Manifolds
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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.
Edoardo Ballico (1990)
Manuscripta mathematica
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Wolfram Decker (1990)
Compositio Mathematica
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Montserrat Teixidor i Bigas (1992)
Manuscripta mathematica
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Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)
Open Mathematics
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Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must...
Edoardo Ballico (1992)
Forum mathematicum
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Carlo Madonna (2000)
Revista Matemática Complutense
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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.
Michael Schneider (1978-1979)
Séminaire Bourbaki
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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.
Madonna, C. (1998)
Rendiconti del Seminario Matematico
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Ph. Ellia (1994)
Journal für die reine und angewandte Mathematik
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