Compact moduli spaces of stable sheaves over non-algebraic surfaces.
Toma, Matei (2001)
Documenta Mathematica
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Toma, Matei (2001)
Documenta Mathematica
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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Sämann, Christian (2009)
Advances in Mathematical Physics
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Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Dimitri Markushevich, Alexander Tikhomirov, Misha Verbitsky (2012)
Open Mathematics
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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.
Tohru Nakashima (1996)
Compositio Mathematica
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Norbert Hoffmann (2012)
Open Mathematics
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Let C be a smooth projective curve over an algebraically closed field of arbitrary characteristic. Let M r,Lss denote the projective coarse moduli scheme of semistable rank r vector bundles over C with fixed determinant L. We prove Pic(M r,Lss) = ℤ, identify the ample generator, and deduce that M r,Lss is locally factorial. In characteristic zero, this has already been proved by Drézet and Narasimhan. The main point of the present note is to circumvent the usual problems with Geometric...
Andreas Laudin, Alexander Schmitt (2012)
Open Mathematics
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In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
Ben Nasatyr, Brian Steer (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Francesco Sala (2012)
Open Mathematics
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We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.