Secant varieties to osculating varieties of Veronese embeddings of \(\mathbb P^n\)

DOI10.1016/j.jalgebra.2008.10.020zbMath1226.14065arXiv0807.2455OpenAlexW2964244939MaRDI QIDQ1014588

Maria Virginia Catalisano, Alessandra Bernardi, Alessandro Gimigliano, Monica Idà

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2455

zbMATH Keywords

algebraic geometrytensor decompositionsecant varieties

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)

Related Items

Curves and stick figures not contained in a hypersurface of a given degree, On the secant varieties of tangential varieties, Waring-like decompositions of polynomials. I., Most secant varieties of tangential varieties to Veronese varieties are nondefective, Postulation of general unions of lines and +lines in positive characteristic, Waring, tangential and cactus decompositions, On the Waring problem for polynomial rings, Linear subspaces of symmetric tensors whose non-zero elements have at least a prescribed rank, Postulation of general unions of lines and multiplicity two points in \(\mathbb P^3\), Tangential varieties of Segre-Veronese surfaces are never defective, Algebraic stories from one and from the other pockets, All secant varieties of the Chow variety are nondefective for cubics and quaternary forms, The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• CoCoA

Cites Work

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• Osculating spaces to secant varieties
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• A brief proof of a maximal rank theorem for generic double points in projective space
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• Osculating Varieties of Veronese Varieties and Their Higher Secant Varieties