On monodromies of a degeneration of irreducible symplectic Kähler manifolds

DOI10.1007/s00209-007-0179-3zbMath1140.14008arXivmath/0605223OpenAlexW2059977385MaRDI QIDQ2465402

Yasunari Nagai

Publication date: 4 January 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605223

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Kähler-Einstein manifolds (32Q20)

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The LLV decomposition of hyper-Kähler cohomology (the known cases and the general conjectural behavior) ⋮ Singularities of Fano varieties of lines on singular cubic fourfolds ⋮ Symmetric products of a semistable degeneration of surfaces ⋮ A GIT construction of degenerations of Hilbert schemes of points ⋮ Remarks on degenerations of hyper-Kähler manifolds ⋮ A bound on the second Betti number of hyperkähler manifolds of complex dimension six ⋮ P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds ⋮ The geometry of degenerations of Hilbert schemes of points ⋮ Lagrangian fibrations ⋮ The LLV decomposition of hyperkähler cohomology and applications to the Nagai conjecture (after Green-Kim-Laza-Robles)

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