TY - JOUR
T1 - Drinfeld–stuhler modules
AU - Papikian, Mihran
N1 - Funding Information:
*Correspondence: papikian@psu.edu Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA The author’s research was partially supported by Grants from the Simons Foundation (245676) and the National Security Agency (H98230-15-1-0008).
PY - 2018/12
Y1 - 2018/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85080876826&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85080876826&partnerID=8YFLogxK
U2 - 10.1007/s40687-018-0161-1
DO - 10.1007/s40687-018-0161-1
M3 - Article
AN - SCOPUS:85080876826
VL - 5
JO - Research in Mathematical Sciences
JF - Research in Mathematical Sciences
SN - 2522-0144
IS - 4
M1 - 40
ER -