On tangential weak defectiveness and identifiability of projective varieties

DOI10.2422/2036-2145.202003_001OpenAlexW3128913622MaRDI QIDQ5037189

Alex Massarenti, Ageu Barbosa Freire, Alex Casarotti

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.09915

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Classical problems, Schubert calculus (14N15) Exterior algebra, Grassmann algebras (15A75) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (2)

Identifiability for the k-secant variety of the Segre-Veronese varieties ⋮ On secant defectiveness and identifiability of Segre-Veronese varieties

Cites Work

• Tensor Decompositions and Applications
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• On the dimension of secant varieties
• Decomposition of quantics in sums of powers of linear forms
• On the dimension of contact loci and the identifiability of tensors
• A new class of non-identifiable skew-symmetric tensors
• Ranks of tensors, secant varieties of Segre varieties and fat points
• On the dimensions of secant varieties of Segre-Veronese varieties
• New examples of defective secant varieties of Segre-Veronese varieties
• On secant dimensions and identifiability of flag varieties
• Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties
• Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\)
• Generalized varieties of sums of powers
• Weakly defective varieties
• Secant Varieties of Segre–Veronese Varieties ℙ^m× ℙⁿEmbedded byO(1, 2)
• Singularities of linear systems and the Waring problem
• Induction for secant varieties of Segre varieties
• Non-secant defectivity via osculating projections
• On non-secant defectivity of Segre-Veronese varieties
• On Generic Identifiability of 3-Tensors of Small Rank
• Symmetric Tensors and Symmetric Tensor Rank

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