Let XK be a proper, smooth and geometrically connected curve over a global field K. In this paper we generalize a formula of Milne relating the order of the Tate-Shafarevich group of the Jacobian of XK to the order of the Brauer group of a proper regular model of XK. We thereby partially answer a question of Grothendieck.
雑誌名
Journal of mathematical sciences, the University of Tokyo
巻
10
号
2
ページ
391 - 419
発行年
2003
ISSN
13405705
書誌レコードID
AA11021653
フォーマット
application/pdf
日本十進分類法
415
Mathematical Reviews Number
MR1987138
Mathmatical Subject Classification
11G35(MSC1991)
14K15(MSC1991)
14G25(MSC1991)
出版者
Graduate School of Mathematical Sciences, The University of Tokyo
原稿受領日
2001-05-01
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Brauer Groups and Tate-Shafarevich Groups
jms100207.pdf
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