Alternating groups as monodromy groups in positive characteristic

Abstract

Let $X$ be a generic curve of genus $g$ defined over an algebraically closed field $k$ of characteristic $p\ge 0$. 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

References in corpus (1)

• Algebraic functions with even monodromy

Cited by in corpus (1)

• Problems from the workshop on "Automorphisms of Curves" (Leiden, August, 2004)