Logarithmic connections with vanishing p-curvature
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0409145,
title = {Logarithmic connections with vanishing p-curvature},
author = {Brian Osserman},
journal= {arXiv preprint arXiv:math/0409145},
year = {2007}
}
Comments
19 pages. Contents of chapter V of PhD thesis, Massachusetts Institute of Technology, 2004