Alternating groups as monodromy groups in positive characteristic

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70289Let $X$ 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 versionAlgebraic Geometry14H30Alternating groups as monodromy groups in positive characteristictext