We study D-elliptic sheaves in terms of their associated modules, which we call Drinfeld–Stuhler modules. First, we prove some basic results about Drinfeld–Stuhler modules and give explicit examples. Then we examine the existence and properties of Drinfeld–Stuhler modules with large endomorphism rings, which are analogous to CM and supersingular Drinfeld modules. Finally, we examine the fields of moduli of Drinfeld–Stuhler modules.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Mathematics (miscellaneous)
- Computational Mathematics
- Applied Mathematics