An inequality for Betti numbers of hyper-Kähler manifolds of dimension 6

DOI10.1134/S0001434616010363zbMath1343.53042MaRDI QIDQ296014

Nikon Kurnosov

Publication date: 14 June 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

hyper-Kähler manifoldBetti numbersHodge numbersChern numbersRozansky-Witten invariants

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (2)

Remarks on Kawamata's effective non-vanishing conjecture for manifolds with trivial first Chern classes ⋮ On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four

Cites Work

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• Variétés kähleriennes dont la première classe de Chern est nulle
• On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
• Curvature and characteristic numbers of hyper-Kähler manifolds
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Singular symplectic moduli spaces
• Desingularized moduli spaces of sheaves on a K3
• A new six-dimensional irreducible symplectic variety

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