On non-defectivity of certain Segre-Veronese varieties

DOI10.1016/j.jsc.2010.06.008zbMath1207.14052OpenAlexW2042825883MaRDI QIDQ607048

Hirotachi Abo

Publication date: 19 November 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2010.06.008

zbMATH Keywords

Non-defectivitySecant varietiesSegre-Veronese varieties

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)

Related Items

Identifiability for the k-secant variety of the Segre-Veronese varieties, Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank), Most secant varieties of tangential varieties to Veronese varieties are nondefective, On the dimensions of secant varieties of Segre-Veronese varieties, Higher Secant Varieties of ℙⁿ × ℙ¹Embedded in Bi-Degree (a,b), On non-secant defectivity of Segre-Veronese varieties, Tangential varieties of Segre-Veronese surfaces are never defective, Secant non-defectivity via collisions of fat points, The Hitchhiker guide to: secant varieties and tensor decomposition, On secant defectiveness and identifiability of Segre-Veronese varieties

Uses Software

• Macaulay2
• SeDiMO

Cites Work

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• On Waring's problem for several algebraic forms
• On the ideals of secant varieties to certain rational varieties
• On the Alexander-Hirschowitz theorem
• On the non-defectivity of non weak-defectivity of Segre-Veronese embeddings of products of projective spaces
• Segre-Veronese embeddings of \(\mathbb P^1\times\mathbb P^1\times\mathbb P^1\) and their secant varieties
• Non-defectivity of Grassmannians of planes
• Secant Varieties of Segre–Veronese Varieties ℙ^m× ℙⁿEmbedded byO(1, 2)
• Secant Dimensions of Minimal Orbits: Computations and Conjectures
• About the Defectivity of Certain Segre–Veronese Varieties
• Induction for secant varieties of Segre varieties