Local structure of the moduli space of vector bundles over curves.
Yves Laszlo (1996)
Commentarii mathematici Helvetici
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Yves Laszlo (1996)
Commentarii mathematici Helvetici
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H.J. Munkholm, E.K. Pedersen (1981)
Commentarii mathematici Helvetici
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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.
Montserrat Teixidor i Bigas (1998)
Collectanea Mathematica
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Moduli spaces of vector bundles on families of non-singular curves are usually compactified by considering (slope)semistable bundles on stable curves. Alternatively, one could consider Hilbert-stable curves in Grassmannians. We study some properties of the latter and compare them with similar properties of curves coming from the former compactification. This leads to a new interpretation of the moduli space of (semi)stable torsion-free sheaves on a fixed nodal curve. One can present...
I. Brambila-Paz (1993)
Mathematische Zeitschrift
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Tohru Nakashima (1996)
Compositio Mathematica
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Wolf Barth, Klaus Hulek (1978)
Manuscripta mathematica
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John W. Wood (1971)
Commentarii mathematici Helvetici
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Dimitri Markushevich, Alexander Tikhomirov, Misha Verbitsky (2012)
Open Mathematics
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Bruzzo, Ugo, Markushevish, Dimitri (2011)
Documenta Mathematica
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