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

2023/03/08 by Morihiko Saito, Saito, Morihiko
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2303.04724

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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