Degenerate secant varieties and a problem on matrices

Norman Joseph Goldstein

Vol. 119 (1985), No. 1, 115–124

DOI: 10.2140/pjm.1985.119.115

Abstract

We show that if a developable ruled surface of a curve in complex projective space has a degenerate secant variety, then the surface already lies in a ℙ⁴. This result eliminates a redundancy in the list of Griffiths and Harris, of surfaces that have degenerate secant varieties.

Mathematical Subject Classification 2000

Primary: 14J25

Secondary: 14N05

Milestones

Received: 1 December 1983

Published: 1 September 1985