A relative Grace Theorem for complex polynomials
Complex Variables
2016-06-01 v2 Algebraic Geometry
Abstract
We study the pullback of the apolarity invariant of complex polynomials in one variable under a polynomial map on the complex plane. As a consequence, we obtain variations of the classical results of Grace and Walsh in which the unit disk, or a circular domain, is replaced by its image under the given polynomial map.
Cite
@article{arxiv.1410.5935,
title = {A relative Grace Theorem for complex polynomials},
author = {Daniel Plaumann and Mihai Putinar},
journal= {arXiv preprint arXiv:1410.5935},
year = {2016}
}
Comments
minor corrections; 14 pages, 3 figures