Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking
Algebraic Geometry
2018-05-21 v1 Differential Geometry
Abstract
In this article we focus on the study of special parabolic points in surfaces arising as graphs of polynomials, we give a theorem of Viro's patchworking type to build families of real polynomials in two variables with a prescribed number of special parabolic points in their graphs. We use this result to build a family of degree d real polynomials in two variables with special parabolic points in its graph. This brings the number of special parabolic points closer to the upper bound of when , which is the best known up until now.
Keywords
Cite
@article{arxiv.1805.07326,
title = {Transversal special parabolic points in the graph of a polynomial obtained under Viro's patchworking},
author = {Fuensanta Aroca Bisquert and Angelito Camacho Calderón and Mirna Gómez Morales},
journal= {arXiv preprint arXiv:1805.07326},
year = {2018}
}
Comments
20 pages, 4 figures