Dependent subsets of embedded projective varieties

DOI10.4134/BKMS.b190546zbMath1455.14102arXiv1905.08149OpenAlexW3194918774MaRDI QIDQ5148152

Edoardo Ballico

Publication date: 1 February 2021

Full work available at URL: https://arxiv.org/abs/1905.08149

zbMATH Keywords

secant varietys \(X\)-ranks zero-dimensional schemes variety with only one ordinary double points

Mathematics Subject Classification ID

Secant varieties, tensor rank, varieties of sums of powers (14N07)

Cites Work

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• The dual geometry of Hermitian two-point codes
• On the geometry of Hermitian one-point codes
• A comparison of different notions of ranks of symmetric tensors
• The dual minimum distance of arbitrary-dimensional algebraic-geometric codes
• Decomposition of homogeneous polynomials with low rank
• Generalized Hamming weights of codes obtained from smooth plane curves
• A zero-dimensional approach to Hermitian codes
• Computing symmetric rank for symmetric tensors
• 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
• Ranks of tensors and a generalization of secant varieties
• On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors
• On the rank of a symmetric form
• Introduction to Grothendieck duality theory
• Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
• Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture
• Tensor ranks on tangent developable of Segre varieties
• Joins and higher secant varieties.
• Varieties with one apparent double point
• Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes
• Algebraic Families on an Algebraic Surface

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