Lower bounds and asymptotics of real double Hurwitz numbers
Algebraic Geometry
2019-10-14 v1 Combinatorics
Abstract
We study the real counterpart of double Hurwitz numbers, called real double Hurwitz numbers here. We establish a lower bound for these numbers with respect to their dependence on the distribution of branch points. We use it to prove, under certain conditions, existence of real Hurwitz covers as well as logarithmic equivalence of real and classical Hurwitz numbers. The lower bound is based on the \enquote{tropical} computation of real Hurwitz numbers in arXiv:1412.4235.
Keywords
Cite
@article{arxiv.1805.08997,
title = {Lower bounds and asymptotics of real double Hurwitz numbers},
author = {Johannes Rau},
journal= {arXiv preprint arXiv:1805.08997},
year = {2019}
}
Comments
26 pages, 5 figures