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...
Gespeichert in:
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
26 October 2024
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Manuscripta mathematica
Year: 2024, Jahrgang: 175, Pages: 1-42 |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/s00229-024-01590-y |
| Online-Zugang: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s00229-024-01590-y
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| Verfasserangaben: | Milan Malčić |
| Zusammenfassung: | 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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| Beschreibung: | Gesehen am 21.03.2025 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-1785 |
| DOI: | 10.1007/s00229-024-01590-y |