New examples of defective secant varieties of Segre-Veronese varieties

DOI10.1007/s13348-011-0039-7zbMath1267.14068arXiv1101.3202OpenAlexW1984263210MaRDI QIDQ1956303

Maria Chiara Brambilla, Hirotachi Abo

Publication date: 13 June 2013

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

Full work available at URL: https://arxiv.org/abs/1101.3202

zbMATH Keywords

secant varietiesmultiprojective spacesSegre-Veronese embeddingdefective variety

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Special varieties (14M99) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Related Items

On tangential weak defectiveness and identifiability of projective varieties ⋮ 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) ⋮ Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\) ⋮ Secant varieties of toric varieties arising from simplicial complexes ⋮ On the dimensions of secant varieties of Segre-Veronese varieties ⋮ On Waring's problem for systems of skew-symmetric forms ⋮ Dimensions of group-based phylogenetic mixtures ⋮ On non-secant defectivity of Segre-Veronese varieties ⋮ Uniform matrix product states from an algebraic geometer's point of view ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ On secant defectiveness and identifiability of Segre-Veronese varieties

Uses Software

• SeDiMO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the dimensions of secant varieties of Segre-Veronese varieties
• Secant Dimensions of Minimal Orbits: Computations and Conjectures
• Induction for secant varieties of Segre varieties
• On rational normal curves in projective space