Double covers and vector bundles.
Brînzănescu, Vasile (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Brînzănescu, Vasile (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Matei Toma (2012)
Open Mathematics
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We show that certain moduli spaces of vector bundles over blown-up primary Hopf surfaces admit no compact components. These are the moduli spaces used by Andrei Teleman in his work on the classification of class VII surfaces.
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.
Heier, Gordon (2002)
Documenta 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.
Nishimura, Hirokazu (2007)
Beiträge zur Algebra und Geometrie
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Brendan Hassett, Yuri Tschinkel (2014)
Open Mathematics
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We classify quartic del Pezzo surface fibrations over the projective line via numerical invariants, giving explicit examples for small values of the invariants. For generic such fibrations, we describe explicitly the geometry of spaces of sections to the fibration, and mappings to the intermediate Jacobian of the total space. We exhibit examples where these are birational, which has applications to arithmetic questions, especially over finite fields.
Georg Hein (2009)
Open Mathematics
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We show that the moduli space of SUX (r, L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
Baker, R.D., Brown, J.M.N., Ebert, G.L., Fisher, J.C. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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...
Indranil Biswas, Amit Hogadi, Yogish Holla (2012)
Open Mathematics
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Let C be an irreducible smooth projective curve, of genus at least two, defined over an algebraically closed field of characteristic zero. For a fixed line bundle L on C, let M C (r; L) be the coarse moduli space of semistable vector bundles E over C of rank r with ∧r E = L. We show that the Brauer group of any desingularization of M C(r; L) is trivial.