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Short polynomials in determinantal ideals

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 نشر من قبل Thomas Kahle
 تاريخ النشر 2021
  مجال البحث
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We show that a determinantal ideal generated by $t$-minors does not contain any nonzero polynomials with $t!/2$ or fewer terms. Geometrically this means that any nonzero polynomial vanishing on all matrices of rank at most $t-1$ has more than $t!/2$ terms.

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