Multigraded apolarity

DOI10.1002/mana.202000484zbMath1525.14063arXiv1601.06211OpenAlexW4307918869MaRDI QIDQ6047457

Maciej Gałązka

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06211

zbMATH Keywords

toric varietycatalecticantWaring rankapolaritysecant varietyborder rankcactus rank

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Classical problems, Schubert calculus (14N15)

Related Items (1)

New lower bounds for matrix multiplication and

Cites Work

• Vector bundles give equations of cactus varieties
• Secant varieties of toric varieties
• The tensor rank of tensor product of two three-qubit W states is eight
• Tensor rank is not multiplicative under the tensor product
• A note on the cactus rank for Segre-Veronese varieties
• Varieties of apolar subschemes of toric surfaces
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• On the cactus rank of cubic forms
• On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors
• On the rank of a symmetric form
• Geometric conditions for strict submultiplicativity of rank and border rank
• Introduction to Toric Varieties. (AM-131)
• ON DIFFERENCES BETWEEN THE BORDER RANK AND THE SMOOTHABLE RANK OF A POLYNOMIAL
• Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes
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