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math.AG2026
Structured matrix factorization length
Jeong-Hoon Ju, Taehyeong Kim
Every (resp. a generic) complex matrix can be expressed as a product of (resp. ) Toeplitz matrices. Motivated by this result, it is natu…
math.AG2025
The border rank of the determinant tensor is twelve
Jong In Han, Jeong-Hoon Ju, Yeongrak Kim
We show that the border rank of the determinant tensor is at least over , using the fixed ideal theorem introduced by Buczyńska-Buczyński and the meth…