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arXiv · 0909.3478

Specialization of motivic Hodge-Chern classes

Joerg Schuermann
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Abstract

In this paper we give a proof of the fact, that the motivic Hodge-Chern class transformation MHC_y and Hirzebruch class transformation MHT_y* for mixed Hodge modules and strictly specializable filtered D-modules commute with specialization in the algebraic and in a suitable complex analytic context. Here specialization in the Hodge- and D-module context means the corresponding nearby cycles defined in terms of the $V$-filtration of Malgrange-Kashiwara. This generalizes a corresponding specialization result of Verdier about MacPherson's Chern class transformation c_*.

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Joerg Schuermann. 2009-09-18. Specialization of motivic Hodge-Chern classes. https://arxiv.org/abs/0909.3478

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