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

Andrew Harder; Zhiyuan Li; Junliang Shen; Qizheng Yin

doi:10.1017/fms.2021.31

Forum of Mathematics, Sigma (Jan 2021)

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

Andrew Harder,
Zhiyuan Li,
Junliang Shen,
Qizheng Yin

Affiliations

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

DOI: https://doi.org/10.1017/fms.2021.31
Journal volume & issue: Vol. 9

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.

Published in Forum of Mathematics, Sigma

ISSN: 2050-5094 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-sigma

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