Real Rank Two Geometry
Algebraic Geometry
2017-04-07 v3 Computational Geometry
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1609.09245,
title = {Real Rank Two Geometry},
author = {Anna Seigal and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1609.09245},
year = {2017}
}
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20 pages