Real rank two geometry

JOURNAL OF ALGEBRA

卷:484

Article

Seigal, Anna¹  Sturmfels, Bernd¹ 

[1] Univ Calif Berkeley, Berkeley, CA 94720 USA

关键词: Real algebraic geometry;    Tensor decomposition;    Secant variety;    Hyperdeterminant;    Tangential variety;   

DOI  :  10.1016/j.jalgebra.2017.04.014

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free