2010
DOI: 10.48550/arxiv.1007.0310
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Ramification theory for varieties over a local field

Kazuya Kato,
Takeshi Saito

Abstract: We define generalizations of classical invariants of wild ramification for coverings on a variety of arbitrary dimension over a local field. For an ℓ-adic sheaf, we define its Swan class as a 0-cycle class supported on the wild ramification locus. We prove a formula of Riemann-Roch type for the Swan conductor of cohomology together with its relative version, assuming that the local field is of mixed characteristic.We also prove the integrality of the Swan class for curves over a local field as a generalization… Show more

Help me understand this report
View published versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 14 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?