On Shafarevich-Tate groups and the arithmetic of Fermat Curves

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We extend the results of the first author on nontrivial elements in the Shafarevich-Tate group of the jacobian of a quotient of a Fermat curve of prime degree, and use the methods of the second author to derive a result bounding the quadratic points on the Fermat curve of degree 19.
Added missing bibliography, other minor changes to title and abstract

Keywords

Number Theory, Algebraic Geometry, 11G10;11G30

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65498

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210483
 http://arxiv.org/abs/math/0210483

Collections

arXiv