For tensors one beyond boundary format, codimension of singular vector span inside critical space equals dim of a cohomology kernel; an infinite family of order-3 tensors shows maximal rather than minimal codimension.
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Upper and lower bounds linear in the order for the number of critical points of Hermitian distance minimization on binary forms, with all possible values determined for order three.
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On defective spans of singular vector tuples beyond the boundary format
For tensors one beyond boundary format, codimension of singular vector span inside critical space equals dim of a cohomology kernel; an infinite family of order-3 tensors shows maximal rather than minimal codimension.
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The Hermitian Distance degree of Tensor spaces
Upper and lower bounds linear in the order for the number of critical points of Hermitian distance minimization on binary forms, with all possible values determined for order three.