Higher Secant Varieties of ℙn × ℙ1Embedded in Bi-Degree (a,b)

DOI10.1080/00927872.2011.595748zbMath1262.14066arXiv1103.1151OpenAlexW1971421369MaRDI QIDQ4902953

Maria Virginia Catalisano, Alessandra Bernardi, Edoardo Ballico

Publication date: 18 January 2013

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

Full work available at URL: https://arxiv.org/abs/1103.1151

zbMATH Keywords

Secant varieties

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Related Items (11)

A note on the simultaneous Waring rank of monomials ⋮ From non-defectivity to identifiability ⋮ Generic identifiability of pairs of ternary forms ⋮ On Waring's problem for systems of skew-symmetric forms ⋮ Special arrangements of lines: Codimension 2 ACM varieties in ℙ1 × ℙ1 × ℙ1 ⋮ On non-secant defectivity of Segre-Veronese varieties ⋮ Identifiability of rank-3 tensors ⋮ On secant dimensions and identifiability of flag varieties ⋮ 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

Cites Work

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• On the dimensions of secant varieties of Segre-Veronese varieties
• Ideals of varieties parameterized by certain symmetric tensors
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• Grassmannians of secant varieties
• Secant Varieties of Segre–Veronese Varieties ℙ^m× ℙⁿEmbedded byO(1, 2)
• Secant dimensions of low-dimensional homogeneous varieties
• On Grassmann secant extremal varieties
• About the Defectivity of Certain Segre–Veronese Varieties
• SMOOTH THREEFOLDS WITH G_2,3-DEFECT
• On HighG_k−1,k-Defective Varieties

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