Perverse Leray filtration and specialization with applications to the Hitchin morphism
Algebraic Geometry
2021-02-05 v1
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].
Keywords
Cite
@article{arxiv.2102.02264,
title = {Perverse Leray filtration and specialization with applications to the Hitchin morphism},
author = {MArk Andrea A de Cataldo},
journal= {arXiv preprint arXiv:2102.02264},
year = {2021}
}
Comments
47 pages. To appear in Math.Proc.Cambridge Phil.Soc