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Smooth curves linked to thick curves

Published online by Cambridge University Press:  04 December 2007

SCOTT NOLLET
SCOTT NOLLET
Affiliation:
University of California, Riverside, Riverside, CA 92521, USA
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Abstract

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In this paper we construct smooth irreducible space curves $C$ which link geometrically by surfaces of minimal degree containing $C$ to curves $\Gamma$ of generic embedding dimension three. This produces interesting behavior with respect to both $C$ and $\Gamma$. The curves $\Gamma$ link to smooth connected curves by surfaces of low degree but cannot link to smooth connected curves by surfaces of high degree. The curves $C$ give counterexamples to a conjecture of Martin-Deschamps and Perrin.

Keywords

Linkagesmooth connected curvessuperficial curves
Type
Research Article
Information
Compositio Mathematica , Volume 106 , Issue 2 , April 1997 , pp. 203 - 210
Copyright
© 1997 Kluwer Academic Publishers