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

• Autorzy: Indranil Biswas , Amit Hogadi , Yogish Holla
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Semistable projective bundle; Moduli space; Rationality; Brauer group; Weil pairing

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 8
• Strony: 1157-1163

Daty

wydano

2014-08-01

online

2014-05-08

Twórcy

autor

Indranil Biswas

• Tata Institute of Fundamental Research,

autor

Amit Hogadi

• Tata Institute of Fundamental Research,

autor

Yogish Holla

• Tata Institute of Fundamental Research,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0403-4