Liftings of Reduction Maps for Quaternion Algebras
Number Theory
2018-01-12 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1012.0725,
title = {Liftings of Reduction Maps for Quaternion Algebras},
author = {Christophe Cornut and Dimitar Jetchev},
journal= {arXiv preprint arXiv:1012.0725},
year = {2018}
}
Comments
17 pages