Gille, Stefan and Hornbostel, Jens (2005) A zero theorem for the transfer of coherent Witt groups. MATHEMATISCHE NACHRICHTEN, 278 (7-8). pp. 815-823. ISSN 0025-584X,
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Let R be a Gorenstein ring of finite Krull dimension and t is an element of R a regular element. We show that if the quotient map R -> R/Rt has a flat splitting then the transfer morphism of coherent Witt groups `Tr-(R/Rt)/R (W) over tilde (i)(R/Rt) (W) over tilde (i+1)(R) is zero for all i is an element of Z. As an application we give another proof of the Gersten conjecture for Witt groups in the case of regular semilocal rings essentially of finite type over a field of characteristic not 2. (c) 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEQUENCE; Gorenstein rings; coherent Witt groups |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Jun 2021 09:35 |
| Last Modified: | 08 Jun 2021 09:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36762 |
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