On Teissier's example of an equisingularity class that cannot be defined over the rationals
Algebraic Geometry
2026-02-03 v3
Abstract
A result of Teissier says that the cone over one of classical polygon examples in the real projective space gives, by complexification, a surface singularity which is not Whitney equisingular to a singularity defined over the field of rational numbers Q. In this note we correct the example and give a complete proof of Tesissier's result.
Keywords
Cite
@article{arxiv.2501.10863,
title = {On Teissier's example of an equisingularity class that cannot be defined over the rationals},
author = {Adam Parusiński and Laurentiu Paunescu},
journal= {arXiv preprint arXiv:2501.10863},
year = {2026}
}
Comments
17 pages, 3 figures