Logarithmic connections with vanishing p-curvature

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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

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Algebraic Geometry, 14H99

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http://salesiana.dossiersoluciones.com/handle/123456789/72420

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409145
 http://arxiv.org/abs/math/0409145

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arXiv