Logarithmic connections with vanishing p-curvature

Details Logarithmic connections with vanishing p-curvature Logarithmic connections with vanishing p-curvature

2004-09-09

arxiv.org/abs/math/0409145v1

Mathematics

Algebraic Geometry

19 pages. Contents of chapter V of PhD thesis, Massachusetts Institute of Technology, 2004

Scientific paper

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.

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