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On the modularity level of modular abelian varieties over number fields
dc.contributor.author | Gonzalez Jimenez, Enrique |
dc.contributor.author | Guitart Morales, Xavier |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-07-30T10:16:08Z |
dc.date.available | 2010-07-30T10:16:08Z |
dc.date.created | 2010-07 |
dc.date.issued | 2010-07 |
dc.identifier.citation | Gonzalez, E.; Guitart, X. On the modularity level of modular abelian varieties over number fields. "Journal of number theory", Juliol 2010, vol. 130, núm. 7, p. 1560-1570. |
dc.identifier.issn | 0022-314X |
dc.identifier.uri | http://hdl.handle.net/2117/8484 |
dc.description | Electronic version of an article published as "Journal of number theory", vol. 130, no 7, p. 1560-1570. DOI no 10.1016/j.jnt.2010.03.003. <http://www.uam.es/personal_pdi/ciencias/engonz/research/papers/levelBB.pdf> |
dc.description.abstract | Let f be a weight two newform for Γ1(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 ResL/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 NL (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 NL (B) belongs to Z and NL (B)f dim B L = N dim B, where fL is the conductor of L |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica |
dc.subject.lcsh | Geometry, Algebraic |
dc.subject.lcsh | Abelian varieties |
dc.title | On the modularity level of modular abelian varieties over number fields |
dc.type | Article |
dc.subject.lemac | Varietats abelianes |
dc.subject.lemac | Geometria algebraica |
dc.contributor.group | Universitat Politècnica de Catalunya. TN - Grup de Recerca en Teoria de Nombres |
dc.identifier.doi | 10.1016/j.jnt.2010.03.003 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.uam.es/personal_pdi/ciencias/engonz/research/papers/levelBB.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 2578395 |
dc.description.version | Preprint |
local.citation.author | Gonzalez, E.; Guitart, X. |
local.citation.publicationName | Journal of number theory |
local.citation.volume | 130 |
local.citation.number | 7 |
local.citation.startingPage | 1560 |
local.citation.endingPage | 1570 |
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