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

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.

arXiv comment6 pages. Comments are welcome!

References in corpus (3)

• A Lie algebra attached to a projective variety
• The LLV decomposition of hyper-Kaehler cohomology
• Kuga-Satake construction and cohomology of hyperkahler manifolds

Cited by in corpus (3)

• Hitchin fibrations, abelian surfaces, and the P=W conjecture
• The LLV decomposition of hyper-Kaehler cohomology
• Mixed Hodge structures in log symplectic geometry