Bounds on the Dimension of Variations of Hodge Structure

DOI10.2307/2000117zbMath0593.14006OpenAlexW4237026452MaRDI QIDQ3722615

James A. Carlson

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000117

zbMATH Keywords

Hodge structuresperiod mappinggeometrical variation

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Equidistribution of Hodge loci II, Hypersurface variations are maximal. I, Algebraic and Arithmetic Properties of Period Maps, Extension of period maps by polyhedral fans, On the distribution of the Hodge locus, Harmonic mappings of Kähler manifolds to locally symmetric spaces, Variations of Hodge structure of maximal dimension, Harmonic maps from compact Kähler manifolds to exceptional hyperbolic spaces, Coupled contact systems and rigidity of maximal dimensional variations of Hodge structure, Infinitesimal variations of Hodge structure at infinity, Generic integral manifolds for weight two period domains, Variations of Hodge Structure, Legendre Submanifolds, and Accessibility

Cites Work

• Variation of Hodge structure: The singularities of the period mapping
• Compactification of arithmetic quotients of bounded symmetric domains
• Hodge's general conjecture is false for trivial reasons
• On the periods of certain rational integrals. I, II
• Compact Clifford-Klein forms of symmetric spaces
• THE LOCAL TORELLI THEOREM FOR VARIETIES WITH DIVISIBLE CANONICAL CLASS
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
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