The 3x3 determinant has Waring rank at least 15, improving the known lower bound from 14, and the cactus rank of the 3x3 permanent is at least 14.
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A bound for the Waring rank of the determinant via syzygies
The 3x3 determinant has Waring rank at least 15, improving the known lower bound from 14, and the cactus rank of the 3x3 permanent is at least 14.