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Local points on Shimura coverings of Shimura curves at bad reduction primes
dc.contributor.author | Vera Piquero, Carlos de |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-01-28T16:47:38Z |
dc.date.available | 2020-01-28T16:47:38Z |
dc.date.issued | 2016 |
dc.identifier.citation | de 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.issn | 1609-3321 |
dc.identifier.uri | http://hdl.handle.net/2117/175970 |
dc.description.abstract | Let 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.extent | 48 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
dc.subject.lcsh | Curves, Modular |
dc.subject.lcsh | Manifolds (Mathematics) |
dc.subject.lcsh | Arithmetical algebraic geometry |
dc.subject.other | Shimura curves |
dc.subject.other | Atkin–Lehner quotients |
dc.subject.other | Coverings |
dc.subject.other | Local points |
dc.title | Local points on Shimura coverings of Shimura curves at bad reduction primes |
dc.type | Article |
dc.subject.lemac | Corbes modulars |
dc.subject.lemac | Varietats de Shimura |
dc.subject.lemac | Varietats (Matemàtica) |
dc.subject.lemac | Geometria algebraica aritmètica |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.mathjournals.org/mmj/2016-016-002/2016-016-002-005.html |
dc.rights.access | Open Access |
local.identifier.drac | 26416476 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | de Vera-Piquero, C. |
local.citation.publicationName | Moscow Mathematical Journal |
local.citation.volume | 16 |
local.citation.number | 2 |
local.citation.startingPage | 323 |
local.citation.endingPage | 370 |
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