The cohomology rings of moduli stacks of principal bundles over curves.
Heinloth, Jochen, Schmitt, Alexander H.W. (2010)
Documenta Mathematica
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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.
Constantin Teleman, Christopher Woodward (2003)
Annales de l’institut Fourier
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The set of conjugacy classes appearing in a product of conjugacy classes in a compact, -connected Lie group can be identified with a convex polytope in the Weyl alcove. In this paper we identify linear inequalities defining this polytope. Each inequality corresponds to a non-vanishing Gromov-Witten invariant for a generalized flag variety , where is the complexification of and is a maximal parabolic subgroup. This generalizes the results for of Agnihotri and the second author...
Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Yves Laszlo, Christoph Sorger (1997)
Annales scientifiques de l'École Normale Supérieure
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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.
Carlos T. Simpson (1992)
Publications Mathématiques de l'IHÉS
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Alexander Kuznetsov (2012)
Open Mathematics
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We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.
Huashi Xia (1995)
Compositio Mathematica
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