On the Hodge and Betti numbers of hyper-Kähler manifolds

DOI10.1007/s00032-022-00367-wOpenAlexW4307821101MaRDI QIDQ2107595

Olivier Debarre, Pietro Beri

Publication date: 2 December 2022

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-022-00367-w

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Algebraic topology on manifolds and differential topology (57R19) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (3)

Unnamed Item ⋮ The Looijenga-Lunts-Verbitsky algebra and Verbitsky's theorem ⋮ The LLV decomposition of hyperkähler cohomology and applications to the Nagai conjecture (after Green-Kim-Laza-Robles)

Cites Work

• Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
• On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
• On the Chern numbers of generalised Kummer varieties.
• Curvature and characteristic numbers of hyper-Kähler manifolds
• On the cohomology of Kähler and hyper-Kähler manifolds
• Cohomology of compact hyperkähler manifolds and its applications
• The Looijenga-Lunts-Verbitsky algebra and Verbitsky's theorem
• The Hodge diamond of O’Grady’s six-dimensional example
• Kähler hyperbolic manifolds and Chern number inequalities
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