On the Eisenstein ideal over function fields
Number Theory
2015-05-27 v2
Abstract
We study the Eisenstein ideal of Drinfeld modular curves of small levels, and the relation of the Eisenstein ideal to the cuspidal divisor group and the component groups of Jacobians of Drinfeld modular curves. We prove that the characteristic of the function field is an Eisenstein prime number when the level is an arbitrary non square-free ideal of not equal to a square of a prime.
Cite
@article{arxiv.1410.8277,
title = {On the Eisenstein ideal over function fields},
author = {Mihran Papikian and Fu-Tsun Wei},
journal= {arXiv preprint arXiv:1410.8277},
year = {2015}
}
Comments
42 pages. To appear in J. Number Theory, Special issue in honor of Winnie Li