Cornut, ChristopheJetchev, Dimitar2013-10-012013-10-012013-10-01201310.1112/blms/bds098https://infoscience.epfl.ch/handle/20.500.14299/95114WOS:000318112900014We 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.text::journal::journal article::research article