THE BRAUER GROUP OF MODULI SPACES OF VECTOR BUNDLES OVER A REAL CURVE

被引：4

作者：

Biswas, Indranil ^{[1
]}

Hoffmann, Norbert ^{[2
]}

Hogadi, Amit ^{[1
]}

Schmitt, Alexander H. W. ^{[2
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Free Univ Berlin, Inst Math, D-14195 Berlin, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 12期

关键词：

Brauer group; moduli space; real algebraic curve; PICARD GROUP; LINE BUNDLES;

D O I：

10.1090/S0002-9939-2011-10837-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a geometrically connected smooth projective curve of genus g(X) >= 2 over R. Let M(r, xi) be the coarse moduli space of geometrically stable vector bundles E over X of rank r and determinant xi, where xi is a real point of the Picard variety Pic(d)(X). If g(X) = r = 2, then let d be odd. We compute the Brauer group of M(r, xi).

引用

页码：4173 / 4179

页数：7

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