A probabilistic algorithm for the secant defect of Grassmann varieties

DOI10.1016/j.laa.2006.03.005zbMath1105.65043arXivmath/0511683OpenAlexW2016357765MaRDI QIDQ855562

Barbara McGillivray

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511683

zbMATH Keywords

numerical examplesWaring's problemsecant varietyAlexander-Hirschowitz theoremTerracini's lemma

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Vector and tensor algebra, theory of invariants (15A72) Algebraic number theory computations (11Y40) Exterior algebra, Grassmann algebras (15A75)

Related Items

A note on the maximal rank, On the variety parameterizing completely decomposable polynomials, On the Alexander-Hirschowitz theorem, Induction for secant varieties of Segre varieties, Non-defectivity of Grassmannians of planes, The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• Macaulay2

Cites Work

• Rank and optimal computation of generic tensors
• Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
• Secant varieties of Grassmann varieties
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