On Steenbrink's conjecture

DOI10.1007/BF01446597zbMath0712.14002OpenAlexW2038599592WikidataQ122940992 ScholiaQ122940992MaRDI QIDQ923634

Morihiko Saito

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164806

zbMATH Keywords

monodromymixed Hodge structure\(\mu \) -constant deformationcohomology of Milnor fiberspectrum of isolated singularity

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Deformations of singularities (14B07)

Related Items (18)

Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR) ⋮ Mixed Hodge Structures Applied to Singularities ⋮ Hodge ideals and spectrum of isolated hypersurface singularities ⋮ Spectral Hirzebruch-Milnor classes of singular hypersurfaces ⋮ Hodge properties of Airy moments ⋮ On the explicit calculation of Hirzebruch–Milnor classes of certain low dimensional hyperplane arrangements and some combinatorics ⋮ A Recursive Formula for the Motivic Milnor Fiber of a Plane Curve ⋮ Characteristic classes of complex hypersurfaces ⋮ NOTES ON VANISHING CYCLES AND APPLICATIONS ⋮ Milnor numbers for surface singularities ⋮ Motivic exponential integrals and a motivic Thom-Sebastiani theorem ⋮ Number of Jordan blocks of the maximal size for local monodromies ⋮ Deformation of polar methods ⋮ Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink ⋮ The moduli space of cubic fourfolds via the period map ⋮ The Poincaré series of multiplier ideals of a simple complete ideal in a local ring of a smooth surface ⋮ Motivic Milnor fibers of plane curve singularities ⋮ NEW STRING AMPLITUDES FROM OLD FERMAT (HYPER)SURFACES

Cites Work

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• Modules de Hodge polarisables. (Polarisable Hodge modules)
• The monodromy of a series of hypersurface singularities
• Decomposition theorem for proper Kähler morphisms
• Semicontinuity of the singularity spectrum
• Exponents and Newton polyhedra of isolated hypersurface singularities
• The complex exponent of a singularity does not change along strata mu=const
• Variation of Hodge structure: The singularities of the period mapping
• Monodromy of isolated singularities of hypersurfaces
• ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
• Mixed Hodge modules

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