Mixed Hodge structures and representations of fundamental groups of algebraic varieties

DOI10.1016/j.aim.2019.04.028zbMath1420.14018arXiv1806.02688OpenAlexW2963789341MaRDI QIDQ2417751

Louis-Clément Lefèvre

Publication date: 29 May 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02688

zbMATH Keywords

fundamental groupsrepresentation varieties\(L_\infty\) algebrasHodge theoryformal deformation theorycomplex algebraic geometry

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 (max. 100)

Filtered 𝐴-infinity structures in complex geometry ⋮ Morgan’s mixed Hodge structures and nonabelian Hodge structures ⋮ Cohomology jump loci and absolute sets for singular varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Homotopy theory of mixed Hodge complexes
• A criterion for quadraticity of a representation of the fundamental group of an algebraic variety
• Variations of mixed Hodge structure attached to the deformation theory of a complex variation of Hodge structures
• The homotopy invariance of the Kuranishi space
• \(L_\infty \) structures on mapping cones
• The de Rham homotopy theory of complex algebraic varieties. I
• Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• The algebraic topology of smooth algebraic varieties
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Equivariant completion
• On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Varieties of representations of finitely generated groups
• Cofibrant models of diagrams: Mixed Hodge structures in rational homotopy
• Mixed Hodge Structures
• Functors of Artin Rings
• Algebraic Operads
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• DG coalgebras as formal stacks

This page was built for publication: Mixed Hodge structures and representations of fundamental groups of algebraic varieties