Michon, Jean-Francis Courbes de Shimura hyperelliptiques. (French) Zbl 0505.14024 Bull. Soc. Math. Fr. 109, 217-225 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 6 Documents MSC: 14H25 Arithmetic ground fields for curves 14H45 Special algebraic curves and curves of low genus 11R52 Quaternion and other division algebras: arithmetic, zeta functions 12E15 Skew fields, division rings Keywords:Shimura curves; algebra of quaternions; hyperelliptic curve PDFBibTeX XMLCite \textit{J.-F. Michon}, Bull. Soc. Math. Fr. 109, 217--225 (1981; Zbl 0505.14024) Full Text: DOI Numdam EuDML References: [1] CASSELMAN (W.) . - The Hasse-Weil \zeta -function of some moduli varieties of dimension greater than one , Proc., Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence R. I., 1979 , p. 141-163. MR 82e:10046 | Zbl 0415.14011 · Zbl 0415.14011 [2] MILNE (J. S.) . - Points on Shimura varieties mod p , Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence R. I., 1979 , p. 165-184. MR 82e:10048 | Zbl 0418.14022 · Zbl 0418.14022 [3] MORITA (Y.) . - Ihara’s conjectures and moduli space of abelian varieties , Master’s Thesis, Univ. Tokyo, 1970 . [4] OGG (A.) . - Hyperelliptic modular curves , Bull. Soc. Math. France, 102, 1974 , p. 449-462. Numdam | MR 51 #514 | Zbl 0314.10018 · Zbl 0314.10018 [5] SHIMURA (G.) . - Introduction to the arithmetic theory of automorphic functions , Tokyo and Princeton, Shoten, 1971 . Zbl 0221.10029 · Zbl 0221.10029 [6] SHIMURA (G.) . - Construction of classfields and zeta functions of algebraic curves , Ann. of Math., (2), 85, 1967 , p. 58-159. MR 34 #4268 | Zbl 0204.07201 · Zbl 0204.07201 · doi:10.2307/1970526 [7] VIGNERAS (M.-F.) . - Quaternions , Lecture Notes in Math., n^\circ 800, Springer-Verlag, Berlin and New York, 1980 . MR 82i:12016 | Zbl 0422.12008 · Zbl 0422.12008 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.