The pro-unipotent radical of the pro-algebraic fundamental group of a compact Kähler manifold

DOI10.5802/afst.1143zbMath1143.32012arXivmath/0502451OpenAlexW2031046576MaRDI QIDQ2475507

Jonathan Paul Pridham

Publication date: 11 March 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502451

zbMATH Keywords

differential graded algebraKähler grouppro-algebraic completion

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Limits, profinite groups (20E18)

Related Items

Linear Shafarevich conjecture, A pro-algebraic fundamental group for topological spaces, Galois actions on homotopy groups of algebraic varieties, Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting, The de Rham homotopy theory and differential graded category, Deformations of schemes and other bialgebraic structures, Derived coisotropic structures. II: Stacks and quantization, On ℓ-adic Pro-algebraic and Relative Pro-ℓ Fundamental Groups

Cites Work

• Unnamed Item
• Hodge cycles, motives, and Shimura varieties
• Higgs bundles and local systems
• Real homotopy theory of Kähler manifolds
• The hodge de rham theory of relative malcev completion1
• Functors of Artin Rings
• Pro-Affine Algebraic Groups
• The deformation theory of representations of fundamental groups of compact Kähler manifolds