Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties

By J. M. Landsberg, Laurent Manivel. 2006

62 citations recorded by the source corpus.

We define many new examples of modules of equations for secant varieties of Segre varieties that generalize Strassen's commutation equations (Strassen, 1988). Our modules of equations are obtained by constructing subspaces of matrices from tensors that satisfy various commutation properties.

Subfields: Computational Mathematics, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/752e8c23829681d4866d11ed512a8337c7f18b8a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mathematics

1. Alessandra Bernardi
2. A. Oneto
3. Alessandro Gimigliano
4. Enrico Carlini
5. M. Catalisano

In Computational Mechanics

1. Alessandra Bernardi

In Computational Theory and Mathematics

1. Alessandra Bernardi
2. M. Catalisano
3. A. Oneto
4. Alessandro Gimigliano
5. Enrico Carlini

Citations in the corpus

• The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition (2018, background): “, [88, 91] for the computational complexity approach, [16, 90] for the biological statistical approach, [92, 22, 94, 93] for the classical algebraic geometry approach, [95, 96] for the representation theory approach, [97] for a tropical approach and [98] for a multilinear algebra approach.”
• Equations for secant varieties of Veronese and other varieties (2011, unknown): “Taking E with highest weight (ω2, η1, 0) so E∗⊗L has highest weight (ω2, 0, ψ1), yields Strassen’s equations (see [29,39]).”