Théorie de Hodge des cycles évanescents

DOI10.24033/asens.1505zbMath0538.14003OpenAlexW2597620240MaRDI QIDQ3324066

Fouad El Zein

Publication date: 1986

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1986_4_19_1_107_0

zbMATH Keywords

variation of mixed Hodge structure

Mathematics Subject Classification ID

de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (11)

Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces ⋮ Mixed Hodge structure of affine hypersurfaces ⋮ Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces ⋮ Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration ⋮ The Ax-Schanuel conjecture for variations of mixed Hodge structures ⋮ On the monodromies and the limit mixed Hodge structures of families of algebraic varieties ⋮ Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I. ⋮ Mixed Hodge structures on log smooth degenerations ⋮ Variations of mixed Hodge structure and semipositivity theorems ⋮ The Hodge theory of algebraic maps ⋮ The decomposition theorem, perverse sheaves and the topology of algebraic maps

Cites Work

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• Théorie de Hodge. III
• Equations différentielles à points singuliers réguliers
• Séminaire de géométrie algébrique du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 II) par P. Deligne et N. Katz. Exposés X à XXII
• Mixed Hodge Structures
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems

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