Finiteness of Lagrangian fibrations with fixed invariants

DOI10.1016/j.crma.2015.12.019zbMath1432.53071arXiv1509.01897OpenAlexW2963038491MaRDI QIDQ292524

Ljudmila Kamenova

Publication date: 8 June 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01897

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Symplectic geometry, contact geometry (53D99) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Birational boundedness for holomorphic symplectic varieties, Zarhin's trick for \(K3\) surfaces, and the Tate conjecture
• Intersection numbers of extremal rays on holomorphic symplectic varieties
• Erratum to: Compact hyperkähler manifolds: basic results
• Cohomology of compact hyperkähler manifolds and its applications
• Families of Lagrangian fibrations on hyperkähler manifolds
• A finiteness theorem for Lagrangian fibrations
• A Superficial Working Guide to Deformations and Moduli
• Finiteness results for compact hyperkähler manifolds

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