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Experimental Mathematics Volume 16, 2007 - Issue 2
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Original Article

Secant Dimensions of Minimal Orbits: Computations and Conjectures

Karin Baur Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, U.K.
,
Jan Draisma Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB Eindhoven, Netherlands
&
Willem A. de Graaf Dipartimento di Matematica, Universitá degli studi di Trento, Via Sommarive 14, I-38050 Povo (Trento), Italy
Pages 239-250 | Published online: 30 Jan 2011

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E. Ballico. (2022) Identifiability for the k-secant variety of the Segre-Veronese varieties. Linear and Multilinear Algebra 70:21, pages 6441-6451.
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Articles from other publishers (18)

Dalton Bidleman & Luke Oeding. (2023) Restricted secant varieties of Grassmannians. Collectanea Mathematica.
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Alex Casarotti & Massimiliano Mella. (2022) Tangential Weak Defectiveness and Generic Identifiability. International Mathematics Research Notices 2022:19, pages 15075-15091.
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Benjamin Lovitz & Nathaniel Johnston. (2022) Entangled subspaces and generic local state discrimination with pre-shared entanglement. Quantum 6, pages 760.
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Alessandra Bernardi & Reynaldo Staffolani. (2022) A note on the maximal rank. European Journal of Mathematics.
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Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques & Bernard Mourrain. (2019) Skew-symmetric tensor decomposition. Communications in Contemporary Mathematics 23:02, pages 1950061.
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Hamza Jaffali & Luke Oeding. (2020) Learning algebraic models of quantum entanglement. Quantum Information Processing 19:9.
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Alessandra Bernardi, Enrico Carlini, Maria Catalisano, Alessandro Gimigliano & Alessandro Oneto. (2018) The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition. Mathematics 6:12, pages 314.
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Alessandra Bernardi & Davide Vanzo. (2018) A new class of non-identifiable skew-symmetric tensors. Annali di Matematica Pura ed Applicata (1923 -) 197:5, pages 1499-1510.
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Edoardo Ballico. (2018) Set Evincing the Ranks with Respect to an Embedded Variety (Symmetric Tensor Rank and Tensor Rank. Mathematics 6:8, pages 140.
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Jan Draisma & Rob H. Eggermont. (2018) Plücker varieties and higher secants of Sato’s Grassmannian. Journal für die reine und angewandte Mathematik (Crelles Journal) 2018:737, pages 189-215.
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Alessandra Bernardi, Noah S. Daleo, Jonathan D. Hauenstein & Bernard Mourrain. (2017) Tensor decomposition and homotopy continuation. Differential Geometry and its Applications 55, pages 78-105.
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Hirotachi Abo & Jia Wan. (2013) On Waringʼs problem for systems of skew-symmetric forms. Linear Algebra and its Applications 439:8, pages 2330-2349.
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Hirotachi Abo & Maria Chiara Brambilla. (2011) On the dimensions of secant varieties of Segre-Veronese varieties. Annali di Matematica Pura ed Applicata 192:1, pages 61-92.
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Hirotachi Abo & Maria Chiara Brambilla. (2011) New examples of defective secant varieties of Segre–Veronese varieties. Collectanea Mathematica 63:3, pages 287-297.
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Hirotachi Abo, Giorgio Ottaviani & Chris Peterson. (2011) Non-defectivity of Grassmannians of planes. Journal of Algebraic Geometry 21:1, pages 1-20.
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Ada Boralevi & Jarosław Buczyński. (2010) Secants of Lagrangian Grassmannians. Annali di Matematica Pura ed Applicata 190:4, pages 725-739.
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Hirotachi Abo. (2010) On non-defectivity of certain Segre–Veronese varieties. Journal of Symbolic Computation 45:12, pages 1254-1269.
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Jan Draisma. (2008) A tropical approach to secant dimensions. Journal of Pure and Applied Algebra 212:2, pages 349-363.
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