Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities

Keywords

Mathematics, Logarithm, Hypersurface, Gravitational singularity, Monodromy

References

• Period mapping via Brieskorn modulesMorihiko Saito — 1991
• Singular points of complex hypersurfacesJohn Milnor — 1968
• Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulièresP. Deligne, Alexandru Dimca — 1990
• Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libresFrancisco Calderón-Moreno, Luis Narváez Macarro — 2004
• Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisorsLuis Narváez Macarro — 2008
• Singularités des systèmes différentiels de Gauss-ManinFrédéric Pham — 1995
• SINGULAR: a computer algebra system for polynomial computationsGert–Martin Greuel, Gerhard Pfister, Hans Schönemann — 2001
• Logarithmic cohomology of the complement of a plane curveFrancisco Javier Calderón Moreno, Francisco J. Castro-Jiménez, David Mond — 2002
• On the mixed Hodge structure on the cohomology of the Milnor fibreJohn Scherk, J. H. M. Steenbrink — 1985
• Die monodromie der isolierten singularitäten von hyperflächenEgbert Brieskorn — 1970
• Theory of logarithmic differential forms and logarithmic vector fieldsKyoji Saito — 1980
• The differential structure of the Brieskorn latticeMathias Schulze — 2002
• Preuve d'une conjecture de BrieskornMarcos Sebastiani — 1970
• On the de rham cohomology of algebraic varietiesA. Grothendieck — 1966
• A normal form algorithm for the Brieskorn latticeMathias Schulze — 2001
• Cohomology of the complement of a free divisorFrancisco Jesús Castro Jiménez, Luis Narváez Macarro, David Mond — 1996
• On the formal structure of logarithmic vector fieldsMichel Granger, Mathias Schulze — 2004
• On the Periods of Certain Rational Integrals: IIPhilip A. Griffiths — 1969
• On the De Rham Cohomology of a Hypersurface ComplementAlexandru Dimca — 1991
• Intégrales asymptotiques et monodromieBernard Malgrange — 1974

Cited by

• Normal crossing properties of complex hypersurfaces via logarithmic residuesMichel Granger, Mathias Schulze — 2011
• On the Symmetry of b-Functions of Linear Free DivisorsJean-Michel Granger, Mathias Schulze — 2008
• Initial Logarithmic Lie Algebras of Hypersurface SingularitiesMichel Granger, Mathias Schulze — 2008
• Survey on the D-module f^sAnton Leykin, Uli Walther — 2015
• On b-functions of linear free divisorsMathias Schulze, Michel Granger — 2008
• Twisted logarithmic complexes of positively weighted homogeneous divisorsDaniel Bath, Morihiko Saito — 2024
• Twisted logarithmic complexes of positively weighted homogeneous divisorsBath, Daniel, Saito, Morihiko — 2022
• TWISTED LOGARITHMIC COMPLEXES OF POSITIVELY WEIGHTED HOMOGENEOUS DIVISORSMorihiko Saito — 2023
• TWISTED LOGARITHMIC COMPLEXES OF POSITIVELY WEIGHTED HOMOGENEOUS DIVISORS2023

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• The Multiplicity of Isolated Two-Dimensional Hypersurface SingularitiesHenry B. Laufer — 1987
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• Isolated singularities of some semilinear elliptic equationsJuan Luis Vazquez, Лаурент Верон — 1985
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