English

Monodromy groups of product type

Algebraic Geometry 2024-03-27 v1 Group Theory Number Theory

Abstract

The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves f:XP1f:X\rightarrow \mathbb P^1 of sufficiently large degree in comparison to the genus of XX. In this paper we determine all such coverings with monodromy group GSStG\leq S_\ell\wr S_t of product type for t2t\ge 2.

Keywords

Cite

@article{arxiv.2403.17168,
  title  = {Monodromy groups of product type},
  author = {Danny Neftin and Michael E. Zieve},
  journal= {arXiv preprint arXiv:2403.17168},
  year   = {2024}
}
R2 v1 2026-06-28T15:33:21.128Z