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The Shimura covering of a Shimura curve: automorphisms and étale subcoverings
dc.contributor.author | Vera Piquero, Carlos de |
dc.date.accessioned | 2013-07-24T11:11:08Z |
dc.date.created | 2013-10 |
dc.date.issued | 2013-10 |
dc.identifier.citation | de 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.issn | 0022-314X |
dc.identifier.uri | http://hdl.handle.net/2117/19999 |
dc.description.abstract | Let 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.extent | 17 p. |
dc.language.iso | eng |
dc.subject.other | Atkin-Lehner quotients |
dc.subject.other | Étale coverings |
dc.subject.other | Modular automorphisms |
dc.subject.other | Shimura curves |
dc.title | The Shimura covering of a Shimura curve: automorphisms and étale subcoverings |
dc.type | Article |
dc.identifier.doi | 10.1016/j.jnt.2013.04.018 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry) |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14G Arithmetic problems. Diophantine geometry |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0022314X1300139X |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 12670180 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | de Vera-Piquero, C. |
local.citation.publicationName | Journal of number theory |
local.citation.volume | 133 |
local.citation.number | 10 |
local.citation.startingPage | 3500 |
local.citation.endingPage | 3516 |