Partially symmetric tensors and the non-defectivity of secant varieties of products with a projective line as a factor

DOI10.1007/s10013-023-00670-yMaRDI QIDQ6672009

Edoardo Ballico

Publication date: 27 January 2025

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

secant varietySegre-Veronese varietiespartially symmetric tensors

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Cites Work

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• Postulation of general quartuple fat point schemes in \(\mathbb{P}^3\)
• Cancellation problem of complete varieties
• An asymptotic vanishing theorem for generic unions of multiple points
• Postulation of general quintuple fat point schemes in \(\mathbb P^3\)
• On the dimensions of secant varieties of Segre-Veronese varieties
• Secant non-defectivity via collisions of fat points
• On secant defectiveness and identifiability of Segre-Veronese varieties
• Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\)
• Segre-Veronese embeddings of \(\mathbb P^1\times\mathbb P^1\times\mathbb P^1\) and their secant varieties
• A brief proof of a maximal rank theorem for generic double points in projective space
• Secant Varieties of Segre–Veronese Varieties ℙ^m× ℙⁿEmbedded byO(1, 2)
• Varieties with an extremal number of degenerate higher secant varieties.
• Joins and higher secant varieties.
• Higher Secant Varieties of ℙⁿ × ℙ¹Embedded in Bi-Degree (a,b)

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