Alternating groups as monodromy groups in positive characteristic

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Let $X$ be a generic curve of genus $g$ defined over an algebraically closed field $k$ of characteristic $p\geq 0$. We show that for $n$ sufficiently large there exists a tame rational map $f:X\to \PP^1_k$ with monodromy group $A_n$. This generalizes a result of Magaard--Völklein to positive characteristic.
15 pages, revised version

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Algebraic Geometry, 14H30

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http://salesiana.dossiersoluciones.com/handle/123456789/70289

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402436
 http://arxiv.org/abs/math/0402436

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arXiv