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http://hdl.handle.net/2445/193362
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DC Field | Value | Language |
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dc.contributor.author | González-Jiménez, Enrique | - |
dc.contributor.author | Guitart Morales, Xavier | - |
dc.date.accessioned | 2023-02-09T14:24:31Z | - |
dc.date.available | 2023-02-09T14:24:31Z | - |
dc.date.issued | 2010-07 | - |
dc.identifier.issn | 0022-314X | - |
dc.identifier.uri | http://hdl.handle.net/2445/193362 | - |
dc.description.abstract | Let $f$ be a weight two newform for $\Gamma_1(N)$ without complex multiplication. In this article we study the conductor of the absolutely simple factors $B$ of the variety $A_f$ over certain number fields $L$. The strategy we follow is to compute the restriction of scalars $\operatorname{Res}_{L / Q}(B)$, and then to apply Milne's formula for the conductor of the restriction of scalars. In this way we obtain an expression for the local exponents of the conductor $\mathcal{N}_L(B)$. Under some hypothesis it is possible to give global formulas relating this conductor with $N$. For instance, if $N$ is squarefree we find that $\mathcal{N}_L(B)$ belongs to $\mathbb{Z}$ and $\mathcal{N}_L(B) \mathfrak{f}_L^{\operatorname{dim} B}=N^{\operatorname{dim} B}$, where $\mathfrak{f}_L$ is the conductor of $L$. | - |
dc.format.extent | 11 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Elsevier | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1016/j.jnt.2010.03.003 | - |
dc.relation.ispartof | Journal of Number Theory, 2010, vol. 130, num. 7, p. 1560-1570 | - |
dc.relation.uri | https://doi.org/10.1016/j.jnt.2010.03.003 | - |
dc.rights | (c) Elsevier, 2010 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Teoria de nombres | - |
dc.subject.classification | Varietats abelianes | - |
dc.subject.classification | Geometria algebraica | - |
dc.subject.classification | Varietats de Shimura | - |
dc.subject.other | Number theory | - |
dc.subject.other | Abelian varieties | - |
dc.subject.other | Algebraic geometry | - |
dc.subject.other | Shimura varieties | - |
dc.title | On the modularity level of modular abelian varieties over number fields | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 650040 | - |
dc.date.updated | 2023-02-09T14:24:31Z | - |
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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650040.pdf | 202.05 kB | Adobe PDF | View/Open |
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