Mixed Hodge structures and formality
Geoffroy Horel
TL;DR
This paper establishes a formality theorem for algebraic objects on non-compact smooth complex varieties with specific purity properties in their mixed Hodge structures.
Contribution
It introduces a new formality result applicable to algebraic objects on certain non-compact varieties with pure mixed Hodge structures.
Findings
Proves a formality theorem under purity conditions
Extends formality results to non-compact varieties
Highlights the role of mixed Hodge structures in algebraic formality
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Algebra and Geometry