Fibration theorems \`a la Milnor for differentiable maps with non-isolated singularities
Algebraic Geometry
2020-02-18 v1 Complex Variables
Abstract
We prove fibration theorems \`a la Milnor for differentiable real maps with non isolated critical values. We study the situation for maps with linear discriminant, and prove that the concept of d-regularity is the key point for the existence of a Milnor fibration on the sphere. We also explain how one can modify the target space by homeomorphisms to linearize a general discriminant. Whenever the composed map is d-regular one has fibration on the sphere. Plenty of examples are discussed along the text.
Cite
@article{arxiv.2002.07120,
title = {Fibration theorems \`a la Milnor for differentiable maps with non-isolated singularities},
author = {JosÉ Luis Cisneros-Molina and AurÉlio Menegon and JosÉ Seade and Jawad Snoussi},
journal= {arXiv preprint arXiv:2002.07120},
year = {2020}
}