Zhao, Yigeng (2018) DUALITY FOR RELATIVE LOGARITHMIC DE RHAM-WITT SHEAVES ON SEMISTABLE SCHEMES OVER F-q [[t]]. DOCUMENTA MATHEMATICA, 23. pp. 1925-1967. ISSN 1431-0643,
Full text not available from this repository. (Request a copy)Abstract
We study duality theorems for the relative logarithmic de Rham-Witt sheaves on semi-stable schemes X over a local ring F-q[[t]], where F-q is a finite field. As an application, we obtain a new filtration on the maximal abelian quotient pi(ab)(1)(U) of the etale fundamental groups pi(1)(U) of an open subscheme U subset of X, which gives a measure of ramification along a divisor D with normal crossing and Supp(D) subset of X - U. This filtration coincides with the Brylinski-Kato-Matsuda filtration in the relative dimension zero case.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CLASS FIELD-THEORY; LOCAL-RINGS; CONJECTURE; VARIETIES; THEOREM; logarithmic de Rham-Witt sheaf; purity; etale duality; etale fundamental group; semistable scheme; ramification; filtration; class field theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 05:36 |
| Last Modified: | 20 Mar 2020 05:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15227 |
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