Mixed Hodge structures and formality

2016/10/11 by Geoffroy Horel, Horel, Geoffroy
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1610.03267

openalex publication_date 2016/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a formality theorem for algebraic objects internal to smooth complex varieties that are not compact but whose mixed Hodge structure has a certain purity property.

Related

• Mixed Hodge formality
• Formality and splitting of real non-abelian mixed Hodge structures
• Mixed Hodge Complexes on Algebraic Varieties
• Mixed Hodge Structures
• Hodge theory, between algebraicity and transcendence