On real tropical bases and real tropical discriminants
Algebraic Geometry
2013-11-12 v1
Abstract
We explore the concept of real tropical basis of an ideal in the field of real Puiseux series. We show explicit tropical bases of zero-dimensional real radical ideals, linear ideals and hypersurfaces coming from combinatorial patchworking. But we also show that there exist real radical ideals that do not admit a tropical basis. As an application, we show how to compute the set of singular points of a real tropical hypersurface. i.e. we compute the real tropical discriminant.
Keywords
Cite
@article{arxiv.1311.2211,
title = {On real tropical bases and real tropical discriminants},
author = {Luis Felipe Tabera},
journal= {arXiv preprint arXiv:1311.2211},
year = {2013}
}
Comments
17 pages, figures