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Title: | A Nisnevich local Bloch-Ogus theorem over a general base |
Authors: | DESHMUKH, NEERAJ Kulkarni, Girish YADAV, SURAJ Dept. of Mathematics |
Keywords: | Gersten resolution Étale cohomology Gabber's purity theorem 2022-JAN-WEEK4 TOC-JAN-2022 2022 |
Issue Date: | Jun-2022 |
Publisher: | Elsevier B.V. |
Citation: | Journal of Pure and Applied Algebra, 226(6), 106978. |
Abstract: | We prove the exactness of the Nisnevich Gersten complex over a Noetherian irreducible base of finite type under some conditions. We also obtain, as a consequence, a Nisnevich analogue of the Bloch-Ogus theorem for étale cohomology in this setting. |
URI: | https://doi.org/10.1016/j.jpaa.2021.106978 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/6547 |
ISSN: | 0022-4049 1873-1376 |
Appears in Collections: | JOURNAL ARTICLES |
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