Displaying similar documents to “On a singular set for the restriction of the characteristic map to a linear subspace of ℳ n ”

Irreducible algebraic sets of matrices with dominant restriction of the characteristic map

Marcin Skrzyński (2003)

Mathematica Bohemica

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We collect certain useful lemmas concerning the characteristic map, 𝒢 L n -invariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.

Singularities of hyperdeterminants

Jerzy Weyman, Andrei Zelevinsky (1996)

Annales de l'institut Fourier

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We study the singular locus of the variety of of an arbitrary format. Our main result is a classification of irreducible components of the singular locus. Equivalently, we classify irreducible components of the singular locus for the projectively dual variety of a product of several projective spaces taken in the Segre embedding.