Higher Du Bois singularities are shown to be equivalent, in many characteristic-zero settings, to K-regularity, yielding a strengthened Vorst conjecture for local complete intersections and a projective characterization of K-regularity.
Bass, Some problems in ``classical'' algebraic K -theory, Lecture Notes in Mathematics, vol
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On higher Du Bois singularities and $K$-regularity
Higher Du Bois singularities are shown to be equivalent, in many characteristic-zero settings, to K-regularity, yielding a strengthened Vorst conjecture for local complete intersections and a projective characterization of K-regularity.