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arXiv · 1807.11128

On p-adic vanishing cycles of log smooth families

Shuji Saito·Kanetomo Sato
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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.

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Shuji Saito, Kanetomo Sato. 2018-07-30. On p-adic vanishing cycles of log smooth families. https://doi.org/10.2140/tunis.2020.2.309

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