English

Drinfeld-Stuhler modules

Number Theory 2019-04-09 v4

Abstract

We study D\mathscr{D}-elliptic sheaves in terms of their associated modules, which we call Drinfeld-Stuhler modules. We prove some basic results about Drinfeld-Stuhler modules and their endomorphism rings, and then examine the existence and properties of Drinfeld-Stuhler modules with large endomorphism algebras, which are analogous to CM and supersingular Drinfeld modules. Finally, we examine the fields of moduli of Drinfeld-Stuhler modules.

Keywords

Cite

@article{arxiv.1701.00738,
  title  = {Drinfeld-Stuhler modules},
  author = {Mihran Papikian},
  journal= {arXiv preprint arXiv:1701.00738},
  year   = {2019}
}