On Shafarevich-Tate groups and the arithmetic of Fermat Curves
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0210483,
title = {On Shafarevich-Tate groups and the arithmetic of Fermat Curves},
author = {William G. McCallum and Pavlos Tzermias},
journal= {arXiv preprint arXiv:math/0210483},
year = {2007}
}
Comments
Added missing bibliography, other minor changes to title and abstract