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**public sources and our publisher partners.**We construct a Teichmuller curve uniformized by a Fuchsian triangle group commensurable to �(m, n, ∞) for every m, n ≤ ∞. In most cases, for example when m 6 n and m or n is odd, the uniformizing… Expand

We give an explicit description of the stable reduction of superelliptic curves of the form $y^n=f(x)$ at primes $\p$ whose residue characteristic is prime to the exponent $n$. We then use this… Expand

In this paper we study the p-rank of Abelian prime-to-p covers of the generic r-pointed curve of genus g. There is an obvious bound on the p-rank of the cover. We show that it suffices to compute the… Expand

We study indigenous bundles in characteristic p>0 with nilpotent p-curvature, and show that they correspond to so-called deformation data. Using this equivalence, we translate the existence problem… Expand

Let $G=D_p$ be the dihedral group of order $2p$, where $p$ is an odd prime. Let $k$ an algebraically closed field of characteristic $p$. We show that any action of $G$ on the ring $k[[y]]$ can be… Expand

We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by reduction modulo $p$… Expand

Modular curves are quotients of the upper half-plane by congruence subgroups of SL2(ℤ). The most prominent examples are X 0 (N),X1 (N) and X(N), for N ≥ 1. Modular curves are also moduli spaces for… Expand

We describe globally nilpotent differential operators of rank 2 defined over a number field
whose monodromy group is a nonarithmetic Fuchsian group. We show that these differential
operators have an… Expand

We study a class of filtered flat vector bundles of rank 2 which we call pseudo-eeliptic bundles. We construct pseudo-elliptic bundles starting from a deformation datum defined over the function… Expand

Abstract.In this paper we consider wildly ramified G-Galois covers of curves f:Y→ℙ1k branched at exactly one point over an algebraically closed field k of characteristic p. For G equal to Ap or… Expand