Period and index of genus one curves over number fields
Number Theory
2008-11-03 v1
Abstract
The period of a curve is the smallest positive degree of Galois-invariant divisor classes. The index is the smallest positive degree of rational divisors. We construct examples of genus one curves with prescribed period and index over certain number fields.
Keywords
Cite
@article{arxiv.0810.5760,
title = {Period and index of genus one curves over number fields},
author = {Shahed Sharif},
journal= {arXiv preprint arXiv:0810.5760},
year = {2008}
}
Comments
16 pages