Techniques of constructions of variations of mixed Hodge structures

2016/10/04 by Hisashi Kasuya, Kasuya, Hisashi
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1610.00828

openalex publication_date 2016/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a way of constructing real variations of mixed Hodge structures over compact Kähler manifolds by using mixed Hodge structures on Sullivan's 1-minimal models of certain differential graded algebras associated with real variations of Hodge structures.

Citations

• The Self-Duality Equations on a Riemann Surface

Related

• Variation Of Mixed Hodge Structures
• Mixed Hodge formality
• Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures
• Mixed Hodge structures associated to geometric variations
• Formality and splitting of real non-abelian mixed Hodge structures