Examples of Hirzebruch-Milnor classes of projective hypersurfaces detecting higher du Bois or rational singularities

Abstract

We show that it is possible to utilize the Hirzebruch-Milnor classes of projective hypersurfaces in the classical sense to detect higher du Bois or rational singularities only in some special cases. We also give several remarks clarifying some points in my earlier papers.

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