A Bloch-Ogus theorem for henselian local rings in mixed characteristic
We show a conditional exactness statement for the Nisnevich Gersten complex associated to an A1-invariant cohomology theory with Nisnevich descent for smooth schemes over a Dedekind ring with only infinite residue fields. As an application we derive a Nisnevich analogue of the Bloch-Ogus theorem for...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
27 February 2023
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| In: |
Mathematische Zeitschrift
Year: 2023, Volume: 303, Issue: 4, Pages: 1-24 |
| ISSN: | 1432-1823 |
| DOI: | 10.1007/s00209-023-03223-8 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00209-023-03223-8 Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/s00209-023-03223-8 
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| Author Notes: | Johannes Schmidt, Florian Strunk |
| Summary: | We show a conditional exactness statement for the Nisnevich Gersten complex associated to an A1-invariant cohomology theory with Nisnevich descent for smooth schemes over a Dedekind ring with only infinite residue fields. As an application we derive a Nisnevich analogue of the Bloch-Ogus theorem for étale cohomology over a henselian discrete valuation ring with infinite residue field. |
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| Item Description: | Gesehen am 07.12.2023 |
| Physical Description: | Online Resource |
| ISSN: | 1432-1823 |
| DOI: | 10.1007/s00209-023-03223-8 |