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P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds

Part of: Families, fibrations Cycles and subschemes

Published online by Cambridge University Press:  25 June 2021

Andrew Harder ,
Zhiyuan Li ,
Junliang Shen  and
Qizheng Yin
Andrew Harder
Affiliation:
Lehigh University, Department of Mathematics; E-mail: [email protected]
Zhiyuan Li
Affiliation:
Fudan University, Shanghai Center for Mathematical Sciences; E-mail: [email protected]
Junliang Shen
Affiliation:
Massachusetts Institute of Technology, Department of Mathematics; E-mail: [email protected]
Qizheng Yin
Affiliation:
Peking University, Beijing International Center for Mathematical Research; E-mail: [email protected]

Abstract

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We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.

MSC classification

Secondary: 14C30: Transcendental methods, Hodge theory , Hodge conjecture 14D06: Fibrations, degenerations
Type
Algebraic and Complex Geometry
Information
Forum of Mathematics, Sigma , Volume 9 , 2021 , e50
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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