Vector bundles with trivial determinant and second Chern class one on some non-Kähler surfaces.
Vuletescu, Victor (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Vuletescu, Victor (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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.
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...
Konrad Schöbel (2008)
Annales de l’institut Fourier
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We describe explicitly the moduli spaces of polystable holomorphic structures with on a rank two vector bundle with and for all minimal class VII surfaces with and with respect to all possible Gauduchon metrics . These surfaces are non-elliptic and non-Kähler complex surfaces and have recently been completely classified. When is a half or parabolic Inoue surface, is always a compact one-dimensional complex disc. When is an Enoki surface, one obtains a complex...
Toma, Matei (2001)
Documenta Mathematica
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Tohru Nakashima (1996)
Compositio Mathematica
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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.
Kieran G. O'Grady (1993)
Inventiones mathematicae
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Laura Costa (1998)
Collectanea Mathematica
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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