Perverse Leray filtration and specialisation with applications to the Hitchin morphism

Mark Andrea A. De Cataldo

doi:10.1017/S0305004121000293

Perverse Leray filtration and specialisation with applications to the Hitchin morphism

Mark Andrea A. De Cataldo

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	443-487
Number of pages	45
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	172
Issue number	2
DOIs	https://doi.org/10.1017/S0305004121000293
State	Published - Mar 20 2022

Keywords

2020 Mathematics Subject Classification: 14A10 14D06 14D20 14H60

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10.1017/S0305004121000293

Cite this

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

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

KW - 2020 Mathematics Subject Classification: 14A10 14D06 14D20 14H60

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Perverse Leray filtration and specialisation with applications to the Hitchin morphism

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Keywords

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