On p-adic vanishing cycles of log smooth families
Number Theory
2019-08-07 v2
Abstract
In this paper, we will show that the sheaf of p-adic vanishing cycles of a log smooth family over a DVR of mixed characteristic is generated by Milnor symboles. A key ingredient is a computation (due to K. Kato) on the graded quotients of a multi-indexed filtration on the sheaf concerned, which has been used in several papers of the first author.
Keywords
Cite
@article{arxiv.1807.11128,
title = {On p-adic vanishing cycles of log smooth families},
author = {Shuji Saito and Kanetomo Sato},
journal= {arXiv preprint arXiv:1807.11128},
year = {2019}
}
Comments
26 pages. Setions 5 and 6 are reorganized, and typos have been fixed