Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771888 | Journal of Algebra | 2017 | 24 Pages |
Abstract
The real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Anna Seigal, Bernd Sturmfels,