De Rham cohomology of differential modules on algebraic varieties

DOI10.1007/978-3-030-39719-7zbMath1437.14029OpenAlexW4285718168MaRDI QIDQ5918883

Francesco Baldassarri, Maurizio Cailotto, Yves André

Publication date: 23 June 2020

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-39719-7

zbMATH Keywords

comparison theoremsfibrationsintegrable connectionsGauss maps\(p\)-adic de Rham cohomologydifferential modulesGauss-Manin connectionsdirect imagesRiemann existence theoremrelative De Rham complexDwork's dual theoryFuchs exponentsindicial polynomialsirregularity of connectionslogarithmic differential operatorsregular singular connectionsrigid-analytic cohomologyTurrittin exponents

Mathematics Subject Classification ID

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) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Modules of differentials (13N05)

Related Items

Semi-continuity of conductors, and ramification bound of nearby cycles ⋮ Relative regular Riemann–Hilbert correspondence II ⋮ De Rham comparison and Poincaré duality for rigid varieties ⋮ Quadratic relations between periods of connections ⋮ Logarithmic Riemann–Hilbert correspondences for rigid varieties

This page was built for publication: De Rham cohomology of differential modules on algebraic varieties