Ranks on the boundaries of secant varieties

zbMath1405.14125arXiv1708.01029MaRDI QIDQ4611352

Edoardo Ballico

Publication date: 18 January 2019

Full work available at URL: https://arxiv.org/abs/1708.01029

zbMATH Keywords

Segre varietytensor ranksecant varietytangential variety\(X\)-rankjoin of two varieties

Mathematics Subject Classification ID

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

Cites Work

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• On the third secant variety
• On the tangentially degenerate curves. II
• 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
• Typical tensorial rank
• A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings
• On the dimension of contact loci and the identifiability of tensors
• Bounds on the tensor rank
• On the dimensions of secant varieties of Segre-Veronese varieties
• Tensor ranks on tangent developable of Segre varieties
• Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)
• Secant varieties of ℙ¹×⋯×ℙ¹ (𝕟-times) are NOT defective for 𝕟≥5
• Induction for secant varieties of Segre varieties
• On the Tangentially Degenerate Curves
• Joins and higher secant varieties.
• The $b$-secant variety of a smooth curve has a codimension $1$ locally closed subset whose points have rank at least $b+1$
• On non-secant defectivity of Segre-Veronese varieties

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