On secant defectiveness and identifiability of Segre-Veronese varieties
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Publication:2104844
DOI10.4171/RMI/1336zbMath1503.14050arXiv2006.02395OpenAlexW3094332155MaRDI QIDQ2104844
Alex Massarenti, Rick Rischter, Antonio Laface
Publication date: 8 December 2022
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.02395
Computational aspects of higher-dimensional varieties (14Q15) Questions of classical algebraic geometry (51N35) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15) Secant varieties, tensor rank, varieties of sums of powers (14N07)
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- Tensor Decompositions and Applications
- Equations for secant varieties of Veronese and other varieties
- The rank of \(n \times n\) matrix multiplication is at least \(3n^2 - 2\sqrt{2}n^{\frac{3}{2}} - 3n\)
- Birational aspects of the geometry of varieties of sums of powers
- An asymptotic bound for secant varieties of Segre varieties
- Iterative methods for the canonical decomposition of multi-way arrays: application to blind underdetermined mixture identification
- On non-defectivity of certain Segre-Veronese varieties
- Higher secant varieties of \(\mathbb P^n \times \mathbb P^n\) embedded in bi-degree \((1,d)\)
- Secant varieties of toric varieties
- Triangulations. Structures for algorithms and applications
- On the dimension of secant varieties
- The Magma algebra system. I: The user language
- On the dimension of contact loci and the identifiability of tensors
- 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
- Secant non-defectivity via collisions of fat points
- Toric ideals of Minkowski sums of unit simplices
- Projective aspects of the geometry of Lagrangian Grassmannians and spinor varieties
- Secant varieties of Segre-Veronese embeddings of \((\mathbb{P }^1)^r\)
- On the ideals of secant varieties to certain rational varieties
- A tropical approach to secant dimensions
- On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part I: Basic Results and Uniqueness of One Factor Matrix
- On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part II: Uniqueness of the Overall Decomposition
- New lower bounds for the border rank of matrix multiplication
- Secant varieties of ℙ¹×⋯×ℙ¹ (𝕟-times) are NOT defective for 𝕟≥5
- Secant Varieties of Segre–Veronese Varieties ℙm× ℙnEmbedded byO(1, 2)
- Generic Uniqueness Conditions for the Canonical Polyadic Decomposition and INDSCAL
- About the Defectivity of Certain Segre–Veronese Varieties
- Induction for secant varieties of Segre varieties
- An Invariant Regarding Waring’s Problem for Cubic Polynomials
- The asymptotic spectrum of tensors.
- Decompositions of Rational Convex Polytopes
- Non-secant defectivity via osculating projections
- On non-secant defectivity of Segre-Veronese varieties
- Higher Secant Varieties of ℙn × ℙ1Embedded in Bi-Degree (a,b)
- On tangential weak defectiveness and identifiability of projective varieties
- Four Lectures on Secant Varieties
- Symmetric Tensors and Symmetric Tensor Rank
- Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties
- New moduli spaces of pointed curves and pencils of flat connections.
- From non-defectivity to identifiability
