149792 20251017144638.0 doi 10.1016/j.jnt.2013.04.018 sideral 142198 ART-2013-142198 eng de Vera-Piquero, Carlos (orcid)0000-0003-3673-3620 The Shimura covering of a Shimura curve: automorphisms and étale subcoverings 2013 Access copy available to the general public Unrestricted Let X 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 X, Jordan and Skorobogatov introduced a covering Xp of X whose maximal étale quotient is referred to as the Shimura covering of X at p. The goal of this note is to describe the group of modular automorphisms of the curve Xp and its quotients. As an application, we construct cyclic étale Galois coverings of Atkin-Lehner quotients of X. info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 0.524 2013 MATHEMATICS 176 / 301 = 0.585 2013 Q3 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 133, 10 (2013), 3500-3516 J. number theory JOURNAL OF NUMBER THEORY 0022-314X 407411 http://zaguan.unizar.es/record/149792/files/texto_completo.pdf Postprint 1821879 http://zaguan.unizar.es/record/149792/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:149792 articulos driver 2025-10-17-14:30:19 ARTICLE