Functions on space curves
Differential Geometry
2016-09-07 v1
Abstract
We classify simple singularities of functions on space curves. We show that their bifurcation sets have properties very similar to those of functions on smooth manifolds and complete intersections [1,2]: the k(pi, 1)-theorem for the bifurcations diagram of functions is true, and both this diagram and the discriminant are Saito's free divisors.
Keywords
Cite
@article{arxiv.math/9708213,
title = {Functions on space curves},
author = {Victor Goryunov},
journal= {arXiv preprint arXiv:math/9708213},
year = {2016}
}