Abstract
Shimura varieties have arisen in the study of codes in the work of Ihara (1981), Tsfasman, Vladut and Zink (1982), Zink (1985) and Elkies et al. (2002). The focus in this chapter is on arithmetic properties of Shimura curves. The results of Elkies on Shimura towers are discussed.
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© 2003 Springer Science+Business Media Dordrecht
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Hurt, N.E. (2003). Shimura Curves. In: Many Rational Points. Mathematics and Its Applications, vol 564. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0251-5_6
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DOI: https://doi.org/10.1007/978-94-017-0251-5_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6496-7
Online ISBN: 978-94-017-0251-5
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