Abstract

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

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.