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arXiv · 1908.07510

P=W for Lagrangian fibrations and degenerations of hyper-K\"ahler manifolds

Andrew Harder·Zhiyuan Li·Junliang Shen·Qizheng Yin
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Abstract

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

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Andrew Harder, Zhiyuan Li, Junliang Shen, Qizheng Yin. 2019-08-20. P=W for Lagrangian fibrations and degenerations of hyper-K\"ahler manifolds. https://arxiv.org/abs/1908.07510

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