Local structure of the moduli space of vector bundles over curves.

Yves Laszlo

Displaying similar documents to “Local structure of the moduli space of vector bundles over curves.”

Compactification of the space of vector bundles on a singular curve.

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Commentarii mathematici Helvetici

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The projectivity of the moduli space of stable curves, III: The line bundles on M..., and a proof of the projectivity of M... in characteristic 0.

Finn F. Knudsen (1983)

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Monads and Moduli of Vector bundles.

Wolf Barth, Klaus Hulek (1978)

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Montserrat Teixidor i Bigas (1991)

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The Brauer group of desingularization of moduli spaces of vector bundles over a curve

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.

Moduli-stacks for bundles on semistable curves.

Gerd Faltings (1996)

Mathematische Annalen

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Chern numbers of kernel and cokernel bundles. Appendix to "On the Kodaira dimension of the moduli space of curves, II. The even-genus case" by J. Harris.

J. Harrris, L. Tu (1984)

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On the rationality of the moduli schemes of vector bundles on curves

E. Ballico, B. Russo (1997)

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Moduli of Parabolic G-bundles on Curves.

A. Ramanathan, Usha Bhosle (1989)

Mathematische Zeitschrift

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Complete curves in moduli spaces of stable bundles on surfaces.

D. Huybrechts (1994)

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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.