Symmetric tensor rank with a tangent vector: a generic uniqueness theorem

DOI10.1090/S0002-9939-2012-11191-8zbMath1288.14036arXiv1101.5090OpenAlexW2018256076MaRDI QIDQ2845855

Alessandra Bernardi, Edoardo Ballico

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5090

zbMATH Keywords

joinpolynomial decompositionVeronese varietytangential variety

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Projective techniques in algebraic geometry (14N05)

Related Items (3)

Zero-dimensional complete intersections and their linear span in the Veronese embeddings of projective spaces ⋮ Osculating varieties and their joins: $\mathbb{P}^1\times \mathbb{P}^1$ ⋮ Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields

Cites Work

• Unnamed Item
• Computing symmetric rank for symmetric tensors
• Varieties with minimal secant degree and linear systems of maximal dimension on surfaces
• On the dimension of secant varieties
• On the weak non-defectivity of Veronese embeddings of projective spaces
• Weakly defective varieties
• On the secant varieties to the tangential varieties of a Veronesean
• Singularities of linear systems and the Waring problem
• Base loci of linear systems and the Waring problem
• Joins and higher secant varieties.
• Partial stratification of secant varieties of Veronese varieties via curvilinear subschemes

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