Jannsen, Uwe and Saito, Shuji and Zhao, Yigeng (2018) Duality for relative logarithmic de Rham-Witt sheaves and wildly ramified class field theory over finite fields. COMPOSITIO MATHEMATICA, 154 (6). pp. 1306-1331. ISSN 0010-437X, 1570-5846
Full text not available from this repository. (Request a copy)Abstract
In order to study p-adic etale cohomology of an open subvariety U of a smooth proper variety X over a perfect field of characteristic p > 0, we introduce new p-primary torsion sheaves. It is a modification of the logarithmic de Rham-Witt sheaves of X depending on effective divisors D supported in X - U. Then we establish a perfect duality between cohomology groups of the logarithmic de Rham-Witt cohomology of U and an inverse limit of those of the mentioned modified sheaves. Over a finite field, the duality can be used to study wildly ramified class field theory for the open subvariety U.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | K-THEORY; COHOMOLOGY; logarithmic de Rham-Witt sheaves; class field theory; wild ramification; etale duality; quasi-algebraic groups |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Uwe Jannsen |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Mar 2020 11:10 |
| Last Modified: | 10 Mar 2020 11:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14482 |
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