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FUNCTIONS ON SPACE CURVES

Published online by Cambridge University Press:  01 June 2000

V. V. GORYUNOV
V. V. GORYUNOV
Affiliation:
Division of Pure Mathematics, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL; [email protected]
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Abstract

Simple singularities of functions on space curves are classified. It is shown that their bifurcation sets have properties very similar to those of functions on smooth manifolds and complete intersections: the k(π, 1)-theorem for the bifurcation diagram of functions is true, and both this diagram and the discriminant are Saito's free divisors.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 807 - 822
Copyright
The London Mathematical Society 2000

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