Global index of real polynomials
Algebraic Geometry
2024-10-30 v3 Geometric Topology
Abstract
We develop two methods for expressing the global index of the gradient of a 2 variable polynomial function : in terms of the atypical fibres of , and in terms of the clusters of Milnor arcs at infinity. These allow us to derive upper bounds for the global index, in particular refining the one found by Durfee in terms of the degree of .
Cite
@article{arxiv.2303.16496,
title = {Global index of real polynomials},
author = {Gabriel E. Monsalve and Mihai Tibăr},
journal= {arXiv preprint arXiv:2303.16496},
year = {2024}
}
Comments
26p, 3 figures. References updated before publication