On the mixed Hodge structures of the intersection cohomology stalks of complex hypersurfaces

2016/02/09 by Takahiro Saito, Saito, Takahiro · 2 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1602.02976

openalex publication_date 2016/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a hypersurface in ℂⁿ with an isolated singular point at the origin, and study the mixed Hodge structure of the stalk of its intersection cohomology complex at the origin. In particular we express the dimension of each graded piece of the weight filtration of this mixed Hodge structure in terms of the numbers of the Jordan blocks in the Milnor monodromy.

Citations

• An overview of Morihiko Saito's theory of mixed Hodge modules

Cited by

• Subdivisions of lower Eulerian posets and KLS theory
• Subdivisions of lower Eulerian posets

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