Trace maps on rigid Stein spaces
We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite étale morphism X → Y of smooth rigid Stein spaces and which then relates the Serre duality on X with the Serre duality on Y. Furthermore, we consider the behaviour of any rigid Stein space u...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
26 October 2024
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| In: |
Manuscripta mathematica
Year: 2024, Volume: 175, Pages: 1-42 |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/s00229-024-01590-y |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00229-024-01590-y
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| Author Notes: | Milan Malčić |
| Summary: | We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite étale morphism X → Y of smooth rigid Stein spaces and which then relates the Serre duality on X with the Serre duality on Y. Furthermore, we consider the behaviour of any rigid Stein space under (completed) base change to any complete extension field and deduce a commutative diagram relating Serre duality over the base field with the Serre duality over the extension field. |
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| Item Description: | Gesehen am 21.03.2025 |
| Physical Description: | Online Resource |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/s00229-024-01590-y |