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• W2249001036 abstract "In 2013, Abo and Wan studied the analogue of Waring's problem for systems of skew-symmetric forms and identified several defective systems. Of particular interest is when a certain secant variety of a Segre-Grassmann variety is expected to fill the natural ambient space, but is actually a hypersurface. Algorithms implemented in Bertini are used to determine the degrees of several of these hypersurfaces, and representation-theoretic descriptions of their equations are given. We answer Problem 6.5 [Abo-Wan2013], and confirm their speculation that each member of an infinite family of hypersurfaces is minimally defined by a (known) determinantal equation. While led by numerical evidence, we provide non-numerical proofs for all of our results." @default.
• W2249001036 created "2016-06-24" @default.
• W2249001036 creator A5001188909 @default.
• W2249001036 creator A5002630255 @default.
• W2249001036 creator A5007214938 @default.
• W2249001036 date "2014-08-09" @default.
• W2249001036 modified "2023-09-27" @default.
• W2249001036 title "Computations and Equations for Segre-Grassmann hypersurfaces" @default.
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• W2249001036 hasPublicationYear "2014" @default.
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