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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.

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Graded Hilbert-symbol equivalence of number fields

88%

Koprowski P.

Discussiones Mathematicae - General Algebra and Applications

2015

tom 35

nr 1

105-113

We present a new criterion for the existence of Hilbert-symbol equivalence of two number fields. In principle, we show that the system of local conditions for this equivalence may be expressed in terms of Clifford invariants in place of Hilbert-symbols, shifting the focus from Brauer groups to Brauer-Wall groups.

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

88%

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

1 Discussiones Mathematicae - General Algebra and Applications

2 Biswas I.

2 Hogadi A.

2 Holla Y.

1 Koprowski P.

1 2015

1 2014

1 2012

Wyniki wyszukiwania

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

Graded Hilbert-symbol equivalence of number fields

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