On the Gieseker-Petri Map for Rank 2 vector bundles.
Montserrat Teixidor i Bigas (1992)
Manuscripta mathematica
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Montserrat Teixidor i Bigas (1992)
Manuscripta mathematica
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Carlo Madonna (2005)
Open Mathematics
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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...
Herbert Lange (1980)
Manuscripta mathematica
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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.
Mirella Manaresi (1990)
Manuscripta mathematica
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Tan Xiao-Jiang (1992)
Manuscripta mathematica
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Edoardo Ballico (1991)
Manuscripta mathematica
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Qi Zhang (1991)
Manuscripta mathematica
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Michael Schneider, A. Tancredi (1985)
Manuscripta mathematica
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Herbert Lange (1979)
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...
C. Banica, Justin Coanda (1985)
Manuscripta mathematica
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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.
I. Coanda (1985/86)
Mathematische Annalen
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