Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können am Montag, 6.2. und Dienstag, 7.2. keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted on Monday, Feb. 6 and Tuesday, Feb. 7.)
Type of Publication: | Journal article |
Author: | Sinn, Rainer |
Year of publication: | 2013 |
Published in: | Discrete & Computational Geometry ; 50 (2013), 1. - pp. 219-235. - ISSN 0179-5376. - eISSN 1432-0444 |
DOI (citable link): | https://dx.doi.org/10.1007/s00454-013-9501-5 |
Summary: |
Let X⊂A2r be a real curve embedded into an even-dimensional affine space. 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 semi-algebraic sets. In the case of 4 -dimensional SO(2) -orbitopes, we find all irreducible components of their algebraic boundary.
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Subject (DDC): | 510 Mathematics |
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SINN, Rainer, 2013. Algebraic boundaries of SO(2)-orbitopes. In: Discrete & Computational Geometry. 50(1), pp. 219-235. ISSN 0179-5376. eISSN 1432-0444. Available under: doi: 10.1007/s00454-013-9501-5
@article{Sinn2013Algeb-26409, title={Algebraic boundaries of SO(2)-orbitopes}, year={2013}, doi={10.1007/s00454-013-9501-5}, number={1}, volume={50}, issn={0179-5376}, journal={Discrete & Computational Geometry}, pages={219--235}, author={Sinn, Rainer} }