The de Rham homotopy theory of complex algebraic varieties. II

DOI10.1007/BF00536980zbMath0657.14004OpenAlexW4247887167MaRDI QIDQ1110592

Richard M. Hain

Publication date: 1987

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00536980

zbMATH Keywords

variation of mixed Hodge structurelocal monodromylocal system of homotopy groups

Mathematics Subject Classification ID

Rational homotopy theory (55P62) de Rham cohomology and algebraic geometry (14F40) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (13)

Self-products of rationally elliptic spaces and inequalities between the ranks of homotopy and homology groups ⋮ Rational homotopy and intersection-formality of complex algebraic varieties ⋮ Motivic structures on higher homotopy groups of hyperplane arrangements ⋮ Weight decompositions of Thom spaces of vector bundles in rational homotopy ⋮ \(F\)-isocrystals and homotopy types ⋮ Hodge theory of the Goldman bracket ⋮ Local comparisons of homological and homotopical mixed Hodge polynomials ⋮ Combinatorial iterated integrals and the harmonic volume of graphs ⋮ The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves ⋮ On a generalization of Hilbert's 21st problem ⋮ L-infinity pairs and applications to singularities ⋮ Cofibrant models of diagrams: Mixed Hodge structures in rational homotopy ⋮ Quadratic Periods of Meromorphic Forms on Punctured Riemann Surfaces

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