Computation of a cover of Shimura curves using a Hurwitz space

JOURNAL OF ALGEBRA

卷:321

Article

Hallouin, Emmanuel

关键词: Hurwitz space;    Shimura curve;    Explicit model;   

DOI  :  10.1016/j.jalgebra.2008.10.019

来源: Elsevier

【 摘 要 】

Using a Hurwitz space computation, we determine the canonical model of the cover of Shimura curves chi(0)(2) -> chi(1) associated to the quaternion algebra over tire cubic field of discriminant 13(2), which is ramified at exactly two real places and unramified at finite places. Then, we list the coordinates of some rational CM points on chi(1). (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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