Compactification of the space of vector bundles on a singular curve.
C.J. Rego (1982)
Commentarii mathematici Helvetici
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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.
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)
Mathematica Scandinavica
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Monads and Moduli of Vector bundles.
Wolf Barth, Klaus Hulek (1978)
Manuscripta mathematica
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Moduli spaces of (semi)stable vector bundles on tree-linke curves.
Montserrat Teixidor i Bigas (1991)
Mathematische Annalen
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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)
Inventiones mathematicae
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On the rationality of the moduli schemes of vector bundles on curves
E. Ballico, B. Russo (1997)
Rendiconti del Seminario Matematico della Università di Padova
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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)
Mathematische Annalen
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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.