Akademik Veri Yönetim Sistemi
PACIFIC JOURNAL OF MATHEMATICS, cilt.304, sa.2, ss.481-503, 2020 (SCI-Expanded, Scopus)
Let A be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal I subset of A, Drinfeld defined the notion of structure of level I on a Drinfeld module. We extend this to that of level N, where N is a finitely generated torsion A-module. The case where N = (I-1/A)(d), where d is the rank of the Drinfeld module, coincides with the structure of level I. The moduli functor is representable by a regular affine scheme. The automorphism group Aut(A) (N) acts on the moduli space. Our theorem gives a class of subgroups for which the quotient of the moduli scheme is regular. Examples include generalizations of Gamma(0) and of Gamma(1). We also show that parabolic subgroups appearing in the definition of Hecke correspondences are such subgroups.