Degenerations of moduli of stable bundles over algebraic curves
Huashi Xia (1995)
Compositio Mathematica
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Huashi Xia (1995)
Compositio Mathematica
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U. N. Bhosle (1984)
Compositio Mathematica
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Lesya Bodnarchuk, Yuriy Drozd (2003)
Open Mathematics
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We give a complete classification of stable vector bundles over a cuspidal cubic and calculate their cohomologies. The technique of matrix problems is used, similar to [2, 3].
Michael Schneider (1978-1979)
Séminaire Bourbaki
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Georges Elencwajg, O. Forster (1982)
Annales de l'institut Fourier
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We study holomorphic vector bundles on non-algebraic compact manifolds, especially on tori. We exhibit phenomena which cannot occur in the algebraic case, e.g. the existence of 2-bundles that cannot be obtained as extensions of a sheaf of ideals by a line bundle. We prove some general theorems in deformations theory of bundles, which is our main tool.
Heinloth, Jochen, Schmitt, Alexander H.W. (2010)
Documenta Mathematica
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Indranil Biswas, Amit Hogadi, Yogish Holla (2014)
Open Mathematics
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Let X be an irreducible smooth complex projective curve of genus g, with g ≥ 2. Let N be a connected component of the moduli space of semistable principal PGLr (ℂ)-bundles over X; it is a normal unirational complex projective variety. We prove that the Brauer group of a desingularization of N is trivial.
Christopher Hacon (2000)
Annales de l'institut Fourier
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We give a lower bound for the Seshadri constants of ample vector bundles which depends only on the numerical properties of the Chern classes and on a “stability” condition.
N. Mohan Kumar, Aroor Rao (2012)
Open Mathematics
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We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.