Symplectic geometry on moduli spaces of stable pairs
Francesco Bottacin (1995)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Spectral curves and integrable systems”
Symplectic geometry on moduli spaces of stable pairs
Stable bundles and algebraically completely integrable systems
L. Katzarkov, T. Pantev (1994)
Compositio Mathematica
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Poisson geometry of certain moduli spaces
Huebschmann, Johannes
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The geometry of Calogero-Moser systems
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...
Degenerations of moduli of stable bundles over algebraic curves
Huashi Xia (1995)
Compositio Mathematica
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Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves
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.