JournalsprimsVol. 56, No. 1pp. 55–82

On the Mixed Hodge Structures of the Intersection Cohomology Stalks of Complex Hypersurfaces

  • Takahiro Saito

    University of Tsukuba, Japan
On the Mixed Hodge Structures of the Intersection Cohomology Stalks of Complex Hypersurfaces cover

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Abstract

We consider a hypersurface in 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 Jordan blocks in the Milnor monodromy.

Cite this article

Takahiro Saito, On the Mixed Hodge Structures of the Intersection Cohomology Stalks of Complex Hypersurfaces. Publ. Res. Inst. Math. Sci. 56 (2020), no. 1, pp. 55–82

DOI 10.4171/PRIMS/56-1-4