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

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

Abstrakty

EN

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.

Słowa kluczowe

EN

Semistable bundle; Moduli space; Brauer group

Kategorie tematyczne

• 14H60: Vector bundles on curves and their moduli
• 14F22: Brauer groups of schemes

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1300-1305

Daty

wydano

2012-08-01

online

2012-05-31

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/s11533-012-0071-1