Liftings of reduction maps for quaternion algebras

We construct liftings of reduction maps from complex multiplication (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.


Published in:
Bulletin Of The London Mathematical Society, 45, 370-386
Year:
2013
Publisher:
Oxford, Oxford University Press
ISSN:
0024-6093
Laboratories:




 Record created 2013-10-01, last modified 2018-01-28


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