Alternating groups as monodromy groups in positive characteristic

Irene I. Bouw; Stefan Wewers

Alternating groups as monodromy groups in positive characteristic

Algebraic Geometry 2007-05-23 v2

Authors: Irene I. Bouw , Stefan Wewers

Abstract

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--V\"olklein to positive characteristic.

Keywords

automorphism groups character theory field theory

Cite

@article{arxiv.math/0402436,
  title  = {Alternating groups as monodromy groups in positive characteristic},
  author = {Irene I. Bouw and Stefan Wewers},
  journal= {arXiv preprint arXiv:math/0402436},
  year   = {2007}
}

Comments

15 pages, revised version

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