Logarithmic comparison theorem versus Gauss–Manin system for isolated singularities

DOI10.1515/ADVGEOM.2010.023zbMath1213.32015arXiv0706.2512MaRDI QIDQ3055471

Mathias Schulze

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2512

zbMATH Keywords

monodromyde Rham cohomologyisolated hypersurface singularitieslogarithmic differential formsGauss-Manin system

Mathematics Subject Classification ID

Complex surface and hypersurface singularities (32S25) de Rham cohomology and algebraic geometry (14F40) Global theory of complex singularities; cohomological properties (32S20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Uses Software

• SINGULAR

Cites Work

• On the mixed Hodge structure on the cohomology of the Milnor fibre
• Logarithmic cohomology of the complement of a plane curve
• Monodromy of isolated singularities of hypersurfaces
• Preuve d'une conjecture de Brieskorn
• On the periods of certain rational integrals. I, II
• Quasihomogeneous isolated singularities of hyperplanes.
• A normal form algorithm for the Brieskorn lattice
• On the De Rham Cohomology of a Hypersurface Complement
• Cohomology of the complement of a free divisor
• On the formal structure of logarithmic vector fields

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