A Characterization of Mumford Curves with Good Reduction

Mumford defines a certain type of Shimura curves of Hodge type, parametrizing polarized complex abelian fourfolds. It is the first example of non-PEL type Shimura varieties. In this paper, we study the good reduction of such curve in positive characteristics and give a characterization: a family has maiximal Higgs field and the corresponding Dieudonne… (More)