Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure

DOI10.1090/S0002-9947-99-02395-8zbMath0947.37033arXivalg-geom/9712001OpenAlexW1835459590MaRDI QIDQ4942873

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Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9712001

zbMATH Keywords

germHodge structurelocal rigiditycontact differential system

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Contact systems (37J55)

Related Items (3)

Schubert varieties as variations of Hodge structure ⋮ Infinitesimal variations of Hodge structure at infinity ⋮ Nongenericity of variations of Hodge structure for hypersurfaces of high degree

Cites Work

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• Variations of Hodge structure of maximal dimension
• Hypersurface variations are maximal. I
• Variation of Hodge structure: The singularities of the period mapping
• Topics in Transcendental Algebraic Geometry. (AM-106)
• Bounds on the Dimension of Variations of Hodge Structure
• Hypersurface Variations are Maximal, II
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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