Tropical Real Hurwitz numbers
Algebraic Geometry
2015-08-26 v2
Abstract
In this paper, we define tropical analogues of real Hurwitz numbers, i.e. numbers of covers of surfaces with compatible involutions satisfying prescribed ramification properties. We prove a correspondence theorem stating the equality of the tropical numbers with their real counterparts. We apply this theorem to the case of double Hurwitz numbers (which generalizes our result from arXiv:1409.8095).
Keywords
Cite
@article{arxiv.1412.4235,
title = {Tropical Real Hurwitz numbers},
author = {Hannah Markwig and Johannes Rau},
journal= {arXiv preprint arXiv:1412.4235},
year = {2015}
}
Comments
21 pages, 16 figures; updated to fit published version