Periods of t-modules as special values
In this article we show that all periods of uniformizable t-modules (resp. their coordinates) can be obtained via specializing a rigid analytic trivialization of a related dual t-motive at t=θ. The proof is even constructive. The central object in the construction is a subset H of the Tate algebra p...
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
7 December 2018
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| In: |
Journal of number theory
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| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2018.09.024 |
| Online Access: | Resolving-System, Volltext: https://doi.org/10.1016/j.jnt.2018.09.024 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0022314X1830297X 
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| Author Notes: | Andreas Maurischat |
| Summary: | In this article we show that all periods of uniformizable t-modules (resp. their coordinates) can be obtained via specializing a rigid analytic trivialization of a related dual t-motive at t=θ. The proof is even constructive. The central object in the construction is a subset H of the Tate algebra points of E which turns out to be isomorphic to the period lattice of E via kind of generating series in one direction and residues in the other. This isomorphism even holds for arbitrary t-modules E, even non-abelian ones. |
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| Item Description: | Der Artikel ist nicht in einem Heft erschienen, Stand: 16.03.2021 Gesehen am 22.02.2019 |
| Physical Description: | Online Resource |
| ISSN: | 1096-1658 |
| DOI: | 10.1016/j.jnt.2018.09.024 |