On singularities of third secant varieties of Veronese embeddings

DOI10.1016/j.laa.2018.01.013zbMath1400.14128arXiv1411.5063OpenAlexW2963445875WikidataQ130150631 ScholiaQ130150631MaRDI QIDQ1638012

Kangjin Han

Publication date: 12 June 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5063

zbMATH Keywords

singularitySegre embeddingVeronese embeddingsecant varieties

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Determinantal varieties (14M12) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (3)

Topology of tensor ranks ⋮ Secant varieties of toric varieties arising from simplicial complexes ⋮ On the identifiability of ternary forms

Uses Software

• Macaulay2

Cites Work

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• Equations for secant varieties of Veronese and other varieties
• On the rank of a binary form
• On the ranks and border ranks of symmetric tensors
• Chordal varieties of Veronese varieties and catalecticant matrices
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Non-defectivity of Grassmannians of planes
• An Invariant Regarding Waring’s Problem for Cubic Polynomials
• Joins and higher secant varieties.
• An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
• Secant Cumulants and Toric Geometry

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