Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures

DOI10.4171/JEMS/293zbMath1246.14018arXiv0902.2626OpenAlexW2950584196MaRDI QIDQ645356

Philippe Eyssidieux, Carlos T. Simpson

Publication date: 14 November 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2626

zbMATH Keywords

local systemsKähler manifoldsmixed Hodge theoryvariety of representationsvariation of mixed Hodge structure

Mathematics Subject Classification ID

Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Formal methods and deformations in algebraic geometry (14D15)

Related Items (5)

Linear Shafarevich conjecture ⋮ Mixed Hodge structures and representations of fundamental groups of algebraic varieties ⋮ Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting ⋮ Techniques of constructions of variations of mixed Hodge structures ⋮ Cohomology jump loci and absolute sets for singular varieties

Cites Work

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• The homotopy invariance of the Kuranishi space
• The de Rham homotopy theory of complex algebraic varieties. I
• Real homotopy theory of Kähler manifolds
• Poisson deformations of symplectic quotient singularities
• Linear Shafarevich conjecture
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

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