Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computations and Equations for Segre-Grassmann hypersurfaces   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.

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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph