28 research outputs found
Regularity of quotients of Drinfeld modular schemes
Let be the coordinate ring of a projective smooth curve over a finite
field minus a closed point. For a nontrivial ideal , Drinfeld
defined the notion of structure of level on a Drinfeld module.
We extend this to that of level , where is a finitely generated
torsion -module. The case where , where is the rank of
the Drinfeld module,coincides with the structure of level . The moduli
functor is representable by a regular affine scheme.
The automorphism group 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 and of .
We also show that parabolic subgroups appearing in the definition of Hecke
correspondences are such subgroups