Tri-analytic subvarieties of hyperkaehler manifolds

DOI10.1007/BF01928217zbMath0827.53030MaRDI QIDQ1842580

Misha Verbitsky

Publication date: 13 December 1995

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/58185

zbMATH Keywords

hyperkähler manifoldholomorphic symplectic manifoldanalytic submanifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (19)

Transcendental Hodge algebra ⋮ Absolutely trianalytic tori in the generalized Kummer variety ⋮ Cohomology of compact hyperkähler manifolds and its applications ⋮ On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky) ⋮ Mapping class group and a global Torelli theorem for hyperkähler manifolds ⋮ Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space ⋮ On discrete Wirtinger-Northcott problems ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds ⋮ Subvarieties of hypercomplex manifolds with holonomy in \(SL(n,\mathbb H)\) ⋮ Hyperholomorphic connections on coherent sheaves and stability ⋮ CALIBRATIONS IN HYPER-KÄHLER GEOMETRY ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ Locality in the Fukaya category of a hyperkähler manifold ⋮ Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds ⋮ \(k\)-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds ⋮ The Looijenga-Lunts-Verbitsky algebra and Verbitsky's theorem ⋮ On vector bundles over hyperkähler twistor spaces ⋮ The twistor space of \(\mathbb{R}^{4n}\) and Berezin-Toeplitz operators

Cites Work

• Unnamed Item
• Rotation operators with multiplication and some of their generalizations
• Variétés kähleriennes dont la première classe de Chern est nulle
• Volumes, limits, and extensions of analytic varieties
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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