Brauer groups and Tate-Shafarevich groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let X_K 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 X_K to the order of the Brauer group of a proper regular model of X_K. We thereby partially answer a question of Grothendieck.

Keywords

Algebraic Geometry, Number Theory, 11G35; 14K15;14G25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61348

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104214
 http://arxiv.org/abs/math/0104214

Collections

arXiv