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dc.contributor.authorVera Piquero, Carlos de
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2020-01-28T16:47:38Z
dc.date.available2020-01-28T16:47:38Z
dc.date.issued2016
dc.identifier.citationde Vera-Piquero, C. Local points on Shimura coverings of Shimura curves at bad reduction primes. "Moscow Mathematical Journal", 2016, vol. 16, núm. 2, p. 323-370.
dc.identifier.issn1609-3321
dc.identifier.urihttp://hdl.handle.net/2117/175970
dc.description.abstractLet XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced discriminant D>1. For each prime l|D, there is a natural cyclic Galois covering of Shimura curves XD,l → XD constructed by adding certain level structure at l. The main goal of this note is to study the existence of local points at primes p≠l of bad reduction on the intermediate curves of these coverings and their Atkin–Lehner quotients.
dc.format.extent48 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
dc.subject.lcshCurves, Modular
dc.subject.lcshManifolds (Mathematics)
dc.subject.lcshArithmetical algebraic geometry
dc.subject.otherShimura curves
dc.subject.otherAtkin–Lehner quotients
dc.subject.otherCoverings
dc.subject.otherLocal points
dc.titleLocal points on Shimura coverings of Shimura curves at bad reduction primes
dc.typeArticle
dc.subject.lemacCorbes modulars
dc.subject.lemacVarietats de Shimura
dc.subject.lemacVarietats (Matemàtica)
dc.subject.lemacGeometria algebraica aritmètica
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.mathjournals.org/mmj/2016-016-002/2016-016-002-005.html
dc.rights.accessOpen Access
local.identifier.drac26416476
dc.description.versionPostprint (author's final draft)
local.citation.authorde Vera-Piquero, C.
local.citation.publicationNameMoscow Mathematical Journal
local.citation.volume16
local.citation.number2
local.citation.startingPage323
local.citation.endingPage370


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