Degrees of real Wronski maps
Algebraic Geometry
2021-03-26 v4 Combinatorics
Optimization and Control
Abstract
We study the map which sends vectors of polynomials into their Wronski determinants. This defines a projection map of a Grassmann variety which we call a Wronski map. Our main result is computation of degrees of the real Wronski maps. Connections with real algebraic geometry and control theory are described.
Keywords
Cite
@article{arxiv.math/0108133,
title = {Degrees of real Wronski maps},
author = {Alex Eremenko and Andrei Gabrielov},
journal= {arXiv preprint arXiv:math/0108133},
year = {2021}
}
Comments
Corrected version