Logarithmic connections with vanishing p-curvature

2004/09/09 by Brian Osserman, Osserman, Brian · 1 citation
Mathematics · #14H99 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H99

paper · pdf · doi:10.48550/arxiv.math/0409145

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

arxiv created 2004/09/09 · arxiv updated 2009/12/01

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 P¹, classifying such connections in terms of self-maps of P¹ with prescribed ramification.

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