Liftings of Reduction Maps for Quaternion Algebras
نویسندگان
چکیده
We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefinite quaternion algebras with a given conductor and CM points on certain corresponding totally definite quaternion algebras.
منابع مشابه
CM points and quaternion algebras
2 CM points on quaternion algebras 4 2.1 CM points, special points and reduction maps . . . . . . . . . 4 2.1.1 Quaternion algebras. . . . . . . . . . . . . . . . . . . . 4 2.1.2 Algebraic groups. . . . . . . . . . . . . . . . . . . . . . 5 2.1.3 Adelic groups. . . . . . . . . . . . . . . . . . . . . . . . 5 2.1.4 Main objects. . . . . . . . . . . . . . . . . . . . . . . . 7 2.1.5 Galois action...
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تاریخ انتشار 2010