Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology

DOI10.1090/S1056-3911-10-00526-6zbMath1226.14008arXiv0710.0330OpenAlexW2962916706MaRDI QIDQ3085218

Johannes Nicaise

Publication date: 31 March 2011

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.0330

zbMATH Keywords

Milnor fibermixed Hodge structurehomotopy of the Milnor fibre

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Variation of Hodge structures (algebro-geometric aspects) (14D07) Local theory in algebraic geometry (14B99)

Related Items (10)

Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces ⋮ Motivic Milnor fibre of cyclic \(L_\infty\)-algebras ⋮ Normalized Berkovich spaces and surface singularities ⋮ Rational connectivity and analytic contractibility ⋮ Tropical refined curve counting via motivic integration ⋮ Artin motives, weights, and motivic nearby sheaves ⋮ Degeneration of Linear Series from the Tropical Point of View and Applications ⋮ A specialization inequality for tropical complexes ⋮ Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry ⋮ Nonarchimedean geometry of Witt vectors

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