Functions on space curves
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 1997
 DOI:
 10.48550/arXiv.math/9708213
 arXiv:
 arXiv:math/9708213
 Bibcode:
 1997math......8213G
 Keywords:

 Mathematics  Differential Geometry