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arXiv · 1602.02976

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

Takahiro Saito
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Abstract

We consider a hypersurface in $\mathbb{C}^n$ 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.

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Takahiro Saito. 2016-02-09. On the mixed Hodge structures of the intersection cohomology stalks of complex hypersurfaces. https://arxiv.org/abs/1602.02976

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