Fourier-Laplace transform of a variation of polarized complex Hodge structure

DOI10.1515/CRELLE.2008.060zbMath1155.32012arXivmath/0508551OpenAlexW4300121154MaRDI QIDQ3524833

Claude Sabbah

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508551

zbMATH Keywords

Fourier-Laplace transformholonomic modulepolarized complex Hodge structurepolarized twistor structure

Mathematics Subject Classification ID

Period matrices, variation of Hodge structure; degenerations (32G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Variation of Hodge structures (algebro-geometric aspects) (14D07) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (12)

Limits of families of Brieskorn lattices and compactified classifying spaces ⋮ Non-commutative Hodge structures ⋮ Hodge properties of Airy moments ⋮ Quantum differential systems and construction of rational structures ⋮ Examples of non-commutative Hodge structures ⋮ Curvature of classifying spaces for Brieskorn lattices ⋮ A Fock sheaf for Givental quantization ⋮ Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem ⋮ On the mixed Hodge structure associated to hypersurface singularities ⋮ Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties ⋮ Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Milnor numbers and the topology of polynomial hypersurfaces
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Milnor fibration at infinity
• Variation of Hodge structure: The singularities of the period mapping
• Théorie de Hodge. II. (Hodge theory. II)
• Algebraic Gauss-Manin systems and Brieskorn modules
• Harmonic Bundles on Noncompact Curves
• Fourier-Laplace transform of irreducible regular differential systems on the Riemann sphere
• Mixed Hodge modules

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