The Shimura covering of a Shimura curve: automorphisms and étale subcoverings
de Vera-Piquero, Carlos
Resumen: 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.
Idioma: Inglés
DOI: 10.1016/j.jnt.2013.04.018
Año: 2013
Publicado en: JOURNAL OF NUMBER THEORY 133, 10 (2013), 3500-3516
ISSN: 0022-314X
Factor impacto JCR: 0.524 (2013)
Categ. JCR: MATHEMATICS rank: 176 / 301 = 0.585 (2013) - Q3 - T2
Tipo y forma: Article (PostPrint)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2025-10-17-14:30:19)
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Idioma: Inglés
DOI: 10.1016/j.jnt.2013.04.018
Año: 2013
Publicado en: JOURNAL OF NUMBER THEORY 133, 10 (2013), 3500-3516
ISSN: 0022-314X
Factor impacto JCR: 0.524 (2013)
Categ. JCR: MATHEMATICS rank: 176 / 301 = 0.585 (2013) - Q3 - T2
Tipo y forma: Article (PostPrint)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2025-10-17-14:30:19)
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Record created 2025-01-27, last modified 2025-10-17