On p-adic vanishing cycles of log smooth families
arXiv:1807.11128 · doi:10.2140/tunis.2020.2.309
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.
arXiv comment26 pages. Setions 5 and 6 are reorganized, and typos have been fixed