Fourier transforms and p-adic "Weil II"
数论
2007-05-23 v3 代数几何
摘要
Building on work of Crew, we give a rigid cohomological analogue of the main result of Deligne's "Weil II"; this makes it possible to give a purely p-adic proof of the Weil conjectures. Ingredients include a p-adic analogue of Laumon's application of the geometric Fourier transform in the l-adic setting, as well as recent results on p-adic differential equations, due to Andre, Christol, Crew, Kedlaya, Matsuda, Mebkhout, and Tsuzuki.
引用
@article{arxiv.math/0210149,
title = {Fourier transforms and p-adic "Weil II"},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:math/0210149},
year = {2007}
}
备注
57 pages; v3: expanded discussion of Grothendieck-Ogg-Shafarevich formula; other light corrections