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:
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arXiv Mathematics e-prints
- Pub Date:
- August 1997
- DOI:
- 10.48550/arXiv.math/9708213
- arXiv:
- arXiv:math/9708213
- Bibcode:
- 1997math......8213G
- Keywords:
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- Mathematics - Differential Geometry