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Osculating primes to curves of intersection in 4-space, and to certain curves in n-space

Published online by Cambridge University Press:  20 January 2009

R. H. Dye
R. H. Dye
Affiliation:
School of Mathematics, University of Newcastle upon Tyne
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An irreducible curve in S4, projective 4-space, may arise as the complete intersection of three given irreducible threefolds. At a simple point P on such a curve there is an osculating solid, and we would like to have its equation. This solid, necessarily containing the tangent line to the curve at P, belongs to the net spanned by the tangent solids at P to the threefolds. We seek the appropriate linear combination of the known equations for these tangent solids.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 4 , December 1973 , pp. 325 - 338
Copyright
Copyright © Edinburgh Mathematical Society 1973

References

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