A topological formula computes the Euclidean distance degree defect for arbitrary singular complex projective varieties, extending the smooth case.
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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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Euclidean distance degree defect of singular projective varieties
A topological formula computes the Euclidean distance degree defect for arbitrary singular complex projective varieties, extending the smooth case.
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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.