Specialization of motivic Hodge-Chern classes - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: In this paper we give a proof of the fact, that the motivic Hodge-Chern classtransformation MHC y and Hirzebruch class transformation MHT y* for mixed Hodgemodules and strictly specializable filtered D-modules commute withspecialization in the algebraic and in a suitable complex analytic context.Here specialization in the Hodge- and D-module context means the correspondingnearby cycles defined in terms of the $V$-filtration of Malgrange-Kashiwara.This generalizes a corresponding specialization result of Verdier aboutMacPherson-s Chern class transformation c *.



Author: Joerg Schuermann

Source: https://arxiv.org/



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