On the explicit calculation of Hirzebruch-Milnor classes of hyperplane\n arrangements

2018/07/02 by Xia Liao, Liao, Xia, Youngho Yoon +2
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1807.00465

openalex publication_date 2018/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Hirzebruch-Milnor class is given by the difference between the homology\nHirzebruch characteristic class and the virtual one. It is known that the\nHirzebruch-Milnor class for a certain singular hypersurface can be calculated\nby using the Hodge spectrum of each stratum of singular locus. So far there is\nno explicit calculation of this invariant for any non-trivial examples, and we\ncalculate this invariant by two different ways for low dimmensional hyperplane\narrangements.\n

Citations

• Characteristic Classes of Hypersurfaces and Characteristic Cycles

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