Segre-Veronese embeddings of \(\mathbb P^1\times\mathbb P^1\times\mathbb P^1\) and their secant varieties

zbMath1122.14037MaRDI QIDQ2642838

Alessandro Gimigliano, Anthony V. Geramita, Maria Virginia Catalisano

Publication date: 5 September 2007

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41792

zbMATH Keywords

zero-dimensional schemesTerracini's lemmamulti-projective spacedefective threefold

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special varieties (14M99) (3)-folds (14J30) Projective techniques in algebraic geometry (14N05)

Related Items (13)

Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank) ⋮ Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\) ⋮ On non-defectivity of certain Segre-Veronese varieties ⋮ On the dimension of higher secant varieties of Segre varieties \(\mathbb P^n \times \cdots \times \mathbb P^n\) ⋮ On the normality of secant varieties ⋮ Equations for secant varieties of Chow varieties ⋮ 3-dimensional sundials ⋮ A tropical approach to secant dimensions ⋮ Brill's equations as a \(\mathrm{GL}(V)\)-module ⋮ Secant varieties of ℙ¹×⋯×ℙ¹ (𝕟-times) are NOT defective for 𝕟≥5 ⋮ 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

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