Ranks and sets evincing them for the tangent developable

  • Edoardo Ballico
Keywords: secant variety, tangential variety, smooth OADP, X-rank

Abstract

Let X PPr be an integral and non-degenerate variety. We study the complement in the k-secant variety of X of the set of all points with X-rank k. In the case k=2 this is contained in the tangent developable τ(X) of X and we study its X-ranks and the sets evincing them when X is a smooth OADP, i.e. X=n, r=n+1 and a general point of PP2n+1 is contained in a unique secant line of X.

Published
2019-06-25
How to Cite
Ballico, E. (2019). Ranks and sets evincing them for the tangent developable. Gulf Journal of Mathematics, 7(2). Retrieved from https://gjom.org/index.php/gjom/article/view/8
Section
Articles