Some remarks on ample line bundles on abelian varieties.
Akira Ohbuchi (1986/87)
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Akira Ohbuchi (1986/87)
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Ch. Birkenhake (1994)
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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.
Lee, Min Ho (2008)
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S. Ramanan, H. Lange, C. Birkenhake (1993)
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Wojciech Kucharz (2009)
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We show some advantages of splitting vector bundles by blowups.
Oliver, Bob (1998)
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T. Jakubowski (1974)
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Antonio Lanteri, H. Maeda (1992)
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Y.-P. Lee, Rahul Pandharipande (2012)
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The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over ) of the corresponding cobordism groups over Spec() for all dimensions of varieties and ranks of bundles. The basis consists of split bundles over products of projective spaces. Moreover, we prove the full theory for bundles on varieties is an extension of scalars of standard algebraic cobordism.
Qi Zhang (1995)
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Jacek Bochnak, Wojciech Kucharz, Robert Silhol (2000)
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