Liftings of Reduction Maps for Quaternion Algebras
classification
🧮 math.NT
math.AG
keywords
algebraspointsquaternionliftingsmapsreductioncertainconductor
read the original 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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