Counting real rational functions with all real critical values

Details Counting real rational functions with all real critical values Counting real rational functions with all real critical values

2002-09-06

arxiv.org/abs/math/0209062v1

Mathematics

Algebraic Geometry

12 pages (AMSTEX), 3 pictures

Scientific paper

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.

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