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math.AG2026
Determinantal Kernel Schemes of Matrix Nets and Applications to Positive Maps
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1
For a linear map on a matrix space, we study the projective schemes obtained by intersecting its projectivized kernel with determinantal rank loci. For matrix nets, that is, three…
math.AG2019
Some applications of Scherer-Hol's theorem for polynomial matrices
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le
In this paper we establish some applications of the Scherer-Hol's theorem for polynomial matrices. Firstly, we give a representation for polynomial matrices positive definite on su…