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Mathematics > Algebraic Geometry

arXiv:1805.08997 (math)
[Submitted on 23 May 2018]

Title:Lower bounds and asymptotics of real double Hurwitz numbers

Authors:Johannes Rau
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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.
Comments: 26 pages, 5 figures
Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)
MSC classes: Primary 14N10, 14T05, Secondary 14P99
Cite as: arXiv:1805.08997 [math.AG]
  (or arXiv:1805.08997v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1805.08997
Journal reference: Math. Ann. 375.1-2 (2019), pp. 895-915
Related DOI: https://doi.org/10.1007/s00208-019-01863-y

Submission history

From: Johannes Rau [view email]
[v1] Wed, 23 May 2018 08:01:15 UTC (45 KB)
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