Counting real rational functions with all real critical values
Algebraic Geometry
2007-05-23 v1 Combinatorics
Abstract
We study the number of real rational degree n functions (considered up to linear fractional transformations of the independent variable) with a given set of 2n-2 distinct real critical values. We present a combinatorial reformulation of this number and pose several related questions.
Keywords
Cite
@article{arxiv.math/0209062,
title = {Counting real rational functions with all real critical values},
author = {B. Shapiro and A. Vainshtein},
journal= {arXiv preprint arXiv:math/0209062},
year = {2007}
}
Comments
12 pages (AMSTEX), 3 pictures