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On p-adic vanishing cycles of log smooth families

Shuji Saito,Kanetomo Sato

arXiv: Number Theory（2018）

Cited 4|Views17
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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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$p$-adic vanishing cycles, Milnor $K$-groups, log smooth families
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