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

100%

Biswas I., Hogadi A., Holla Y.

Open Mathematics

2012

tom 10

nr 4

1300-1305

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.

Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves

76%

Biswas I., Hogadi A., Holla Y.

Open Mathematics

2014

tom 12

nr 8

1157-1163

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.

Ograniczanie wyników

2 Open Mathematics

2 Biswas I.

2 Hogadi A.

2 Holla Y.

1 2014

1 2012

Wyniki wyszukiwania

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

Unramified Brauer group of the moduli spaces of PGLr(ℂ)-bundles over curves