A quick introduction to Dwork's conjecture
数论
2007-05-23 v1
摘要
This is an expository paper which gives a quick introduction to Dwork's conjecture about p-adic meromorphic continuation of his unit root zeta function arising from algebraic geometry. Special emphasis is given to the case of elliptic family and its relation to p-adic modular forms such as Gouv\^ea-Mazur conjecture and some sort of p-adic Ramanujuan-Peterson conjecture. There is also a section describing some of my personal interactions with Dwork.
引用
@article{arxiv.math/9811190,
title = {A quick introduction to Dwork's conjecture},
author = {Daqing Wan},
journal= {arXiv preprint arXiv:math/9811190},
year = {2007}
}