Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of quotients of Drinfeld modular schemes   Let $A$ be the coordinate ring of a projective smooth curve over a finite
field minus a closed point. For a nontrivial ideal $I \subset A$, 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 $\mathrm{Aut}_{A}(N)$ 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.

22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph