A note on Hurwitz schemes of covers of a positive genus curve
Abstract
We prove the irreducibility of the space parametrizing branched covers of a fixed Riemann surface B of degree d, with at least 2d branch points, and with monodromy group equal to Sd. The result is classical for g(B)=0. The result is well-known for g(B) > 0, but we could find no reference.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.