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• W1556388313 abstract "Let $XsubsetA^{2r}$ be a real curve embedded into an even-dimensional affine space. In the main result of this paper, we characterise when the r-th secant variety to $X$ is an irreducible component of the algebraic boundary of the convex hull of the real points $X(R)$ of $X$. This fact is then applied to 4-dimensional SO(2)-orbitopes and to the so called Barvinok-Novik orbitopes to study when they are basic closed as semi-algebraic sets. In the case of 4-dimensional SO(2)-orbitopes, we find all irreducible components of their algebraic boundary." @default.
• W1556388313 created "2016-06-24" @default.
• W1556388313 creator A5068824685 @default.
• W1556388313 date "2011-08-15" @default.
• W1556388313 modified "2023-09-27" @default.
• W1556388313 title "The Algebraic Boundary of SO(2)-Orbitopes" @default.
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