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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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.
Sukmoon Huh (2009)
Open Mathematics
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We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
Michał Szurek, Jarosław A. Wisniewski (1990)
Compositio Mathematica
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Dimitri Markushevich, Alexander Tikhomirov, Günther Trautmann (2012)
Open Mathematics
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We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c...
Vasile Brînzănescu, Ruxandra Moraru (2005)
Annales de l’institut Fourier
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In this paper, we consider the problem of determining which topological complex rank-2 vector bundles on non-Kähler elliptic surfaces admit holomorphic structures; in particular, we give necessary and sufficient conditions for the existence of holomorphic rank-2 vector bundles on non-{Kä}hler elliptic surfaces.
Nicole Mestrano (1985)
Annales de l'institut Fourier
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Let be a smooth projective surface, the canonical divisor, a very ample divisor and the moduli space of rank-two vector bundles, -stable with Chern classes and . We prove that, if there exists such that is numerically equivalent to and if is even, greater or equal to , then there is no Poincaré bundle on . Conversely, if there exists such that the number is odd or if is odd, then there exists a Poincaré bundle on .
Robin Hartshorne (1966)
Publications Mathématiques de l'IHÉS
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