Functions on space curves

Details Functions on space curves Functions on space curves

1997-08-22

arxiv.org/abs/math/9708213v1

Mathematics

Differential Geometry

Scientific paper

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.

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