Gives explicit characterization and algorithm for Waring decompositions of symmetric tensors on rational varieties under a technical assumption, generalizing Hankel tensors, plus new quadrature bounds on rational curves.
In: Emerging Applications of Algebraic Geometry, pp
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A certificate of unboundedness is introduced for arbitrary polynomial optimization problems to detect cases with no finite lower bound.
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Symmetric tensor decomposition on rational varieties
Gives explicit characterization and algorithm for Waring decompositions of symmetric tensors on rational varieties under a technical assumption, generalizing Hankel tensors, plus new quadrature bounds on rational curves.