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

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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-Kähler manifolds.

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Harder, A., Li, Z., Shen, J., & Yin, Q. (2021). P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds. Forum of Mathematics, Sigma, 9. https://doi.org/10.1017/fms.2021.31

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