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arXiv · 2102.02264

Perverse Leray filtration and specialization with applications to the Hitchin morphism

MArk Andrea A de Cataldo
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Abstract

We initiate and develop a framework to handle the specialization morphism as a filtered morphism for the perverse, and for the perverse Leray filtration, on the cohomology with constructible coefficients of varieties and morphisms parameterized by a curve. As an application, we use this framework to carry out a detailed study of filtered specialization for the Hitchin morphisms associated with the compactification of Dolbeault moduli spaces in [de-2018].

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MArk Andrea A de Cataldo. 2021-02-03. Perverse Leray filtration and specialization with applications to the Hitchin morphism. https://arxiv.org/abs/2102.02264

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