Name
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. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.jalgebra.2017.04.014 | Journal of Algebra |
Keywords | Field | DocType |
Real algebraic geometry,Tensor decomposition,Secant variety,Hyperdeterminant,Tangential variety | Topology,Singular point of an algebraic variety,Dimension of an algebraic variety,Function field of an algebraic variety,Algebraic number,Algebra,Secant line,Algebraic cycle,Algebraic variety,Geometry,Real algebraic geometry,Mathematics | Journal |
Volume | ISSN | Citations |
484 | 0021-8693 | 2 |
PageRank | References | Authors |
0.38 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anna Seigal | 1 | 6 | 1.45 |
| Bernd Sturmfels | 2 | 926 | 136.85 |