Characteristic cycle and wild ramification for nearby cycles of étale sheaves
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Publication:2043597
DOI10.1515/CRELLE-2021-0009zbMATH Open1478.14037arXiv1811.02860OpenAlexW3136322455MaRDI QIDQ2043597
Author name not available (Why is that?)
Publication date: 3 August 2021
Published in: (Search for Journal in Brave)
Abstract: In this article, we give a bound for the wild ramification of the monodromy action on the nearby cycles complex of a locally constant 'etale sheaf on the generic fiber of a smooth scheme over an equal characteristic trait in terms of Abbes and Saito's logarithmic ramification filtration. This provides a positive answer to the main conjecture in Isabel Leal's article "On the ramification of 'etale cohomology groups" for smooth morphisms in equal characteristic. We also study the ramification along vertical divisors of 'etale sheaves on relative curves and abelian schemes over a trait.
Full work available at URL: https://arxiv.org/abs/1811.02860
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