The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
Symmetric tensor decomposition , volume =
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes equivalence between Hankel flat extension and multiplication tensor completion for cactus rank in Artinian Gorenstein algebras, plus reduction of basis shapes via Borel-fixed staircases.
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.
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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.