Liftings of Reduction Maps for Quaternion Algebras

Details Liftings of Reduction Maps for Quaternion Algebras Liftings of Reduction Maps for Quaternion Algebras

2010-12-03

arxiv.org/abs/1012.0725v1

Mathematics

Number Theory

17 pages

Scientific paper

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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