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Experimental Mathematics Volume 20, 2011 - Issue 3
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Original Articles

Toward a Salmon Conjecture

Daniel J. Bates Department of Mathematics, Colorado State University, Fort Collins, CO, 80523, USA
&
Luke Oeding Dipartimento di Matematica “U. Dini”, Università di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy
Pages 358-370 | Received 08 Oct 2010, Accepted 08 Feb 2011, Published online: 22 Aug 2011

Citations (20)

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Read on this site (2)

Luke Oeding & Steven V Sam. (2016) Equations for the Fifth Secant Variety of Segre Products of Projective Spaces. Experimental Mathematics 25:1, pages 94-99.
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JonathanD. Hauenstein, Christian Ikenmeyer & J.M. Landsberg. (2013) Equations for Lower Bounds on Border Rank. Experimental Mathematics 22:4, pages 372-383.
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Articles from other publishers (18)

Joachim Jelisiejew, J. M. Landsberg & Arpan Pal. (2023) Concise tensors of minimal border rank. Mathematische Annalen.
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Justin Chen, Marc Härkönen, Robert Krone & Anton Leykin. (2022) Noetherian operators and primary decomposition. Journal of Symbolic Computation 110, pages 1-23.
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Paul Breiding, Reuven Hodges, Christian Ikenmeyer & Mateusz Michałek. (2022) Equations for GL Invariant Families of Polynomials. Vietnam Journal of Mathematics 50:2, pages 545-556.
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Anna Seigal. (2020) Ranks and symmetric ranks of cubic surfaces. Journal of Symbolic Computation 101, pages 304-317.
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Jonathan D. Hauenstein, Luke Oeding, Giorgio Ottaviani & Andrew J. Sommese. (2019) Homotopy techniques for tensor decomposition and perfect identifiability. Journal für die reine und angewandte Mathematik (Crelles Journal) 2019:753, pages 1-22.
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Karl Bringmann, Christian Ikenmeyer & Jeroen Zuiddam. (2018) On Algebraic Branching Programs of Small Width. Journal of the ACM 65:5, pages 1-29.
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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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Jeremy G. Sumner, Amelia Taylor, Barbara R. Holland & Peter D. Jarvis. (2017) Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants. Journal of Mathematical Biology 75:6-7, pages 1619-1654.
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J.M. Landsberg & Mateusz Michałek. (2017) Abelian tensors. Journal de Mathématiques Pures et Appliquées 108:3, pages 333-371.
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Marta Casanellas, Jesús Fernández-Sánchez & Mateusz Michałek. (2017) Local equations for equivariant evolutionary models. Advances in Mathematics 315, pages 285-323.
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Luke Oeding. (2017) The quadrifocal variety. Linear Algebra and its Applications 512, pages 306-330.
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Noah S. Daleo & Jonathan D. Hauenstein. (2016) Numerically deciding the arithmetically Cohen–Macaulayness of a projective scheme. Journal of Symbolic Computation 72, pages 128-146.
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Jan Draisma & Jochen Kuttler. (2014) Bounded-rank tensors are defined in bounded degree. Duke Mathematical Journal 163:1.
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Enrico Carlini, Nathan Grieve & Luke Oeding. 2014. Connections Between Algebra, Combinatorics, and Geometry. Connections Between Algebra, Combinatorics, and Geometry 101 146 .
Elizabeth S. Allman, Peter D. Jarvis, John A. Rhodes & Jeremy G. Sumner. (2013) Tensor Rank, Invariants, Inequalities, and Applications. SIAM Journal on Matrix Analysis and Applications 34:3, pages 1014-1045.
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Claudiu Raicu. (2012) Secant varieties of Segre–Veronese varieties. Algebra & Number Theory 6:8, pages 1817-1868.
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Shmuel Friedland & Elizabeth Gross. (2012) A proof of the set-theoretic version of the salmon conjecture. Journal of Algebra 356:1, pages 374-379.
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Alessandra Bernardi & Iacopo Carusotto. (2012) Algebraic geometry tools for the study of entanglement: an application to spin squeezed states. Journal of Physics A: Mathematical and Theoretical 45:10, pages 105304.
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