Liftings of Reduction Maps for Quaternion Algebras

Published 3 Dec 2010 in math.NT and math.AG | (1012.0725v1)

Abstract: 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.

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