Real polynomial Hurwitz numbers
Algebraic Geometry
2025-06-23 v1 Combinatorics
Abstract
We show that the signed counts of normalized real polynomials, as defined by Itenberg and Zvonkine, provide the signed counts of genus zero real ramified coverings of the Riemann sphere with a point of total ramification and several other branch points with arbitrary ramification profiles.
Keywords
Cite
@article{arxiv.2506.16879,
title = {Real polynomial Hurwitz numbers},
author = {Yanqiao Ding},
journal= {arXiv preprint arXiv:2506.16879},
year = {2025}
}
Comments
9 pages, comments are welcome