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math.AG2015★ 12 cited
Product Ranks of the Determinant and Permanent
Nathan Ilten, Zach Teitler
We show that the product rank of the determinant is , and the product rank of the permanent is . As a corollary, we obtain that the tensor ranks of th…
math.AG2015
Some examples of forms of high rank
Jarosław Buczyński, Zach Teitler
We describe some forms with greater Waring rank than previous examples. In variables we give forms of odd degree with strictly greater rank than the ranks of monomials, the pre…