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- W2015436056 abstract "Let XD 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,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,p and its quotients. As an application, we construct cyclic étale Galois coverings of Atkin–Lehner quotients of XD." @default.
- W2015436056 created "2016-06-24" @default.
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- W2015436056 date "2013-10-01" @default.
- W2015436056 modified "2023-09-28" @default.
- W2015436056 title "The Shimura covering of a Shimura curve: automorphisms and étale subcoverings" @default.
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- W2015436056 doi "https://doi.org/10.1016/j.jnt.2013.04.018" @default.
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