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dc.contributor.authorVera Piquero, Carlos de
dc.date.accessioned2013-07-24T11:11:08Z
dc.date.created2013-10
dc.date.issued2013-10
dc.identifier.citationde Vera-Piquero, C. The Shimura covering of a Shimura curve: automorphisms and étale subcoverings. "Journal of number theory", Octubre 2013, vol. 133, núm. 10, p. 3500-3516.
dc.identifier.issn0022-314X
dc.identifier.urihttp://hdl.handle.net/2117/19999
dc.description.abstractLet XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discriminant D, and let p be a prime dividing D. In their investigations on the arithmetic of XD, Jordan and Skorobogatov introduced a covering XD,pXD,p of XD whose maximal étale quotient is referred to as the Shimura covering of XD at p. The goal of this note is to describe the group of modular automorphisms of the curve XD,pXD,p and its quotients. As an application, we construct cyclic étale Galois coverings of Atkin–Lehner quotients of XD.
dc.format.extent17 p.
dc.language.isoeng
dc.subject.otherAtkin-Lehner quotients
dc.subject.otherÉtale coverings
dc.subject.otherModular automorphisms
dc.subject.otherShimura curves
dc.titleThe Shimura covering of a Shimura curve: automorphisms and étale subcoverings
dc.typeArticle
dc.identifier.doi10.1016/j.jnt.2013.04.018
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry)
dc.subject.amsClassificació AMS::14 Algebraic geometry::14G Arithmetic problems. Diophantine geometry
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022314X1300139X
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac12670180
dc.description.versionPostprint (published version)
dc.date.lift10000-01-01
local.citation.authorde Vera-Piquero, C.
local.citation.publicationNameJournal of number theory
local.citation.volume133
local.citation.number10
local.citation.startingPage3500
local.citation.endingPage3516


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