Alternating groups as monodromy groups in positive characteristic

Details Alternating groups as monodromy groups in positive characteristic Alternating groups as monodromy groups in positive characteristic

2004-02-26

arxiv.org/abs/math/0402436v2

Mathematics

Algebraic Geometry

15 pages, revised version

Scientific paper

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.

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