On Shafarevich-Tate groups and the arithmetic of Fermat Curves

Details On Shafarevich-Tate groups and the arithmetic of Fermat Curves On Shafarevich-Tate groups and the arithmetic of Fermat Curves

2002-10-31

arxiv.org/abs/math/0210483v1

Mathematics

Number Theory

Added missing bibliography, other minor changes to title and abstract

Scientific paper

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.

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