Moduli of representations of the fundamental group of a smooth projective variety II
Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Carlos T. Simpson (1994)
Publications Mathématiques de l'IHÉS
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Michor, P.W., Schichl, H. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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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...
Nitin Nitsure (1989)
Compositio Mathematica
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Indranil Biswas (1997)
Annales de l'institut Fourier
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The moduli space of stable vector bundles over a moving curve is constructed, and on this a generalized Weil-Petersson form is constructed. Using the local Riemann-Roch formula of Bismut-Gillet-Soulé it is shown that the generalized Weil-Petersson form is the curvature of the determinant line bundle, equipped with the Quillen metric, for a vector bundle on the fiber product of the universal moduli space with the universal curve.
Efstathios Vassiliou (1976)
Rendiconti del Seminario Matematico della Università di Padova
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David Ben-Zvi, Edward Frenkel (2001)
Publications Mathématiques de l'IHÉS
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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.
Jacques Hurtubise, Thomas Nevins (2005)
Annales de l’institut Fourier
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We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties...