Logarithmic connections with vanishing p-curvature
arXiv:math/0409145
Abstract
We examine logarithmic connections with vanishing p-curvature on smooth curves by studying their kernels, describing them in terms of formal local decomposition. We then apply our results in the case of connections of rank 2 on P^1, classifying such connections in terms of self-maps of P^1 with prescribed ramification.
19 pages. Contents of chapter V of PhD thesis, Massachusetts Institute of Technology, 2004