dc.contributor.author
Fité Naya, Francesc
dc.contributor.author
Guitart Morales, Xavier
dc.date.issued
2023-02-13T17:24:39Z
dc.date.issued
2023-11-06T06:10:24Z
dc.date.issued
2022-11-06
dc.date.issued
2023-02-13T17:24:39Z
dc.identifier
https://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
application/pdf
dc.publisher
Springer Verlag
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1007/s00209-021-02895-4
dc.relation
Mathematische Zeitschrift, 2022, vol. 300, num. 3, p. 2975-2995
dc.relation
https://doi.org/10.1007/s00209-021-02895-4
dc.rights
(c) Springer Verlag, 2022
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Varietats abelianes
dc.subject
Grups discontinus
dc.subject
Geometria algebraica
dc.subject
Teoria de nombres
dc.subject
Abelian varieties
dc.subject
Discontinuous groups
dc.subject
Algebraic geometry
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
