Generic forms of low Chow rank

DOI10.1142/S0219498817500475zbMath1369.14068arXiv1508.05546MaRDI QIDQ2978561

Douglas A. Torrance

Publication date: 25 April 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05546

zbMATH Keywords

secant varietyChow varietyChow rank

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)

Related Items (6)

Waring-like decompositions of polynomials. I. ⋮ Most secant varieties of tangential varieties to Veronese varieties are nondefective ⋮ Algebraic stories from one and from the other pockets ⋮ All secant varieties of the Chow variety are nondefective for cubics and quaternary forms ⋮ Almost all subgeneric third-order Chow decompositions are identifiable ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• Macaulay2

Cites Work

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• On the variety parameterizing completely decomposable polynomials
• Complete intersections on general hypersurfaces
• Complete intersection points on general surfaces in \(\mathbb P^{3}\)
• Varieties of completely decomposable forms and their secants
• Geometric complexity theory: an introduction for geometers
• Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\)
• SECANTS TO THE VARIETY OF COMPLETELY REDUCIBLE FORMS AND THE HILBERT FUNCTION OF THE UNION OF STAR-CONFIGURATIONS
• Induction for secant varieties of Segre varieties
• All secant varieties of the Chow variety are nondefective for cubics and quaternary forms

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