The Hodge numbers of O'Grady 10 via Ngô strings

DOI10.1016/j.matpur.2021.10.004zbMath1483.14071arXiv1905.03217OpenAlexW3206402672MaRDI QIDQ2246809

Antonio Rapagnetta, Giulia Saccà, Mark Andrea A. De Cataldo

Publication date: 16 November 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03217

zbMATH Keywords

Hodge numbershyper-KählerNgô support theoremO'Grady's tenfold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) de Rham cohomology and algebraic geometry (14F40) Topological properties in algebraic geometry (14F45) (n)-folds ((n>4)) (14J40) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (13)

On the Mumford-Tate conjecture for hyperkähler varieties ⋮ Sections of Lagrangian fibrations on holomorphically symplectic manifolds and degenerate twistorial deformations ⋮ BPS cohomology for rank 2 degree 0 Higgs bundles (and more) ⋮ On the intersection cohomology of the moduli of SLn$\mathrm{SL}_n$‐Higgs bundles on a curve ⋮ Birational geometry of the intermediate Jacobian fibration of a cubic fourfold (appendix by Claire Voisin) ⋮ Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ Birational geometry of the Mukai system of rank two and genus two ⋮ A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\) ⋮ Constant cycle and co-isotropic subvarieties in a Mukai system ⋮ Lagrangian fibrations ⋮ The geometry of antisymplectic involutions. I. ⋮ Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type

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