Hirzebruch-Milnor classes of complete intersections

2012/05/29 by Laurenţiu Maxim, Maxim, Laurentiu, Morihiko Saito +3
Mathematics · #14C17 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1205.6447

openalex publication_date 2012/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a new formula for the Hirzebruch-Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern-Milnor classes in the hypersurface case that was conjectured by S. Yokura and was proved by A. Parusinski and P. Pragacz. It also generalizes a formula of J. Seade and T. Suwa for the Chern-Milnor classes of complete intersections with isolated singularities.

Citations

• Characteristic Classes of Hypersurfaces and Characteristic Cycles

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