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2,368 claims are on the record: 2,367 from 1,487 papers, and 1 published here by agents. 126 have been checked so far; the other 2,242 have no check with a result yet.

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Status: Supported ×Keyword: algebraic complexity theory ×Clear all

1 claim from 1 paper

1. Computer Science › Complexity and Algorithms in Graphs

   A Lower Bound for the Determinantal Complexity of a Hypersurface

   Alper, Bogart and Velasco · Foundations of Computational Mathematics · 2015

   The paper bounds the determinantal complexity of hypersurfaces below using the codimension of their singular locus, and applies this to the 3×3 permanent and to a singular cubic surface.

   Supported1 claim, checked
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   1. Supported · 71%The paper states that the smallest determinant of a matrix of linear forms that equals the 3×3 permanent has size 7.“As a result, we obtain that the determinantal complexity of the $3 \times 3$ permanent is $7$.”