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Courbes de Shimura hyperelliptiques. (French) Zbl 0505.14024


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
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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
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