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Characteristic cycle and wild ramification for nearby cycles of étale sheaves.
- Source :
-
Journal für die Reine und Angewandte Mathematik . 2021, Vol. 2021 Issue 776, p27-62. 36p. - Publication Year :
- 2021
-
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 étale 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 [24] for smooth morphisms in equal characteristic. We also study the ramification along vertical divisors of étale sheaves on relative curves and abelian schemes over a trait. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MONODROMY groups
*SHEAF theory
*LOGICAL prediction
*FIBERS
Subjects
Details
- Language :
- English
- ISSN :
- 00754102
- Volume :
- 2021
- Issue :
- 776
- Database :
- Academic Search Index
- Journal :
- Journal für die Reine und Angewandte Mathematik
- Publication Type :
- Academic Journal
- Accession number :
- 151175889
- Full Text :
- https://doi.org/10.1515/crelle-2021-0009