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http://hdl.handle.net/2445/193536
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DC Field | Value | Language |
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dc.contributor.author | Fité Naya, Francesc | - |
dc.contributor.author | Guitart Morales, Xavier | - |
dc.date.accessioned | 2023-02-13T17:24:39Z | - |
dc.date.available | 2023-11-06T06:10:24Z | - |
dc.date.issued | 2022-11-06 | - |
dc.identifier.issn | 0025-5874 | - |
dc.identifier.uri | http://hdl.handle.net/2445/193536 | - |
dc.description.abstract | Abstract. We introduce a tensor decomposition of the $\ell$-adic Tate module of an abelian variety $A_0$ defined over a number field which is geometrically isotypic and potentially of $\mathrm{GL}_2$-type. We use this decomposition as a fundamental tool to describe the Sato-Tate group of $A_0$ and to prove the Sato-Tate conjecture in certain cases. | - |
dc.format.extent | 21 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s00209-021-02895-4 | - |
dc.relation.ispartof | Mathematische Zeitschrift, 2022, vol. 300, num. 3, p. 2975-2995 | - |
dc.relation.uri | https://doi.org/10.1007/s00209-021-02895-4 | - |
dc.rights | (c) Springer Verlag, 2022 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Varietats abelianes | - |
dc.subject.classification | Grups discontinus | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Teoria de nombres | - |
dc.subject.other | Abelian varieties | - |
dc.subject.other | Discontinuous groups | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Number theory | - |
dc.title | Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of $\mathrm{GL}_2$-type | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 717404 | - |
dc.date.updated | 2023-02-13T17:24:39Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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717404.pdf | 397.35 kB | Adobe PDF | View/Open |
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