Rank one case of Dwork's conjecture
Number Theory
2007-05-23 v1
Abstract
This paper proves the general rank one case of Dwork's conjecture over the affine space. It generalizes and improves the method of ANT-0141 "Dwork's conjecture on unit root zeta functions" (Ann. Math., 150(1999), 867-929). In addition, explicit information about the zeros and poles (along the Gouv\^ea-Mazur conjecture direction) for the unit root zeta function is obtained. The paper is to appear in JAMS.
Cite
@article{arxiv.math/0005308,
title = {Rank one case of Dwork's conjecture},
author = {Daqing Wan},
journal= {arXiv preprint arXiv:math/0005308},
year = {2007}
}