2016/12/21 by Claus Scheiderer, Scheiderer, Claus · 1 citation
Mathematics · Computer Science · #Mathematics and Applications #Digital Image Processing Techniques #Computational Geometry and Mesh Generation
paper · pdf · doi:10.48550/arxiv.1612.07048
We show that there are many (compact) convex semi-algebraic sets in euclidean space that do not have a semidefinite representation. This gives a negative answer to a question by Nemirovski, resp. it shows that the Helton-Nie conjecture is false.