四元数代数约化映射的提升
Liftings of Reduction Maps for Quaternion Algebras
摘要:
我们构造了一般四元数代数从CM点到超奇异点的约化映射的提升,并利用这些提升建立了具有给定导体的不定四元数代数上的CM点与某些相应的全定四元数代数上的CM点之间的精确对应.
英文摘要:
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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