Real polynomial Hurwitz numbers

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1. Verfasser: Ding, Yanqiao
Format: Preprint
Veröffentlicht: 2025
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author Ding, Yanqiao
author_facet Ding, Yanqiao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16879
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Real polynomial Hurwitz numbers
Ding, Yanqiao
Algebraic Geometry
Combinatorics
Primary 14N10, Secondary 14P05, 14H30
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.
title Real polynomial Hurwitz numbers
topic Algebraic Geometry
Combinatorics
Primary 14N10, Secondary 14P05, 14H30
url https://arxiv.org/abs/2506.16879