Irregular Hodge theory

zbMath1422.14003arXiv1511.00176MaRDI QIDQ4962872

Claude Sabbah

Publication date: 5 November 2018

Full work available at URL: https://arxiv.org/abs/1511.00176

zbMATH Keywords

mixed Hodge moduleThom-Sebastiani formulairregular Hodge filtrationholonomic \(\mathcal{D}\)-moduleexponential-Hodge originmixed twistor \(\mathcal{D}\)-modulerigid \(\mathcal{D}\)-module, irregular mixed Hodge module

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items (9)

Characteristic cycles and the microlocal geometry of the Gauss map, I ⋮ Hodge theory of Kloosterman connections ⋮ A description of monodromic mixed Hodge modules ⋮ Remarks on rigid irreducible meromorphic connections on the projective line ⋮ Hodge numbers of motives attached to Kloosterman and Airy moments ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Tautological systems and free divisors ⋮ Examples of Hypergeometric twistor \(\mathcal{D}\)-modules ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS

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