Trace Maps on Rigid Stein Spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915332045668352 |
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| author | Malčić, Milan |
| author_facet | Malčić, Milan |
| contents | We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite tale morphism $X \to Y$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_14542 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Trace Maps on Rigid Stein Spaces Malčić, Milan Algebraic Geometry Number Theory We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite tale morphism $X \to Y$ 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. |
| title | Trace Maps on Rigid Stein Spaces |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2309.14542 |