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arXiv · 0706.2512

Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities

Mathias Schulze
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Abstract

For quasihomogeneous isolated hypersurface singularities, the logarithmic comparison theorem has been characterized explicitly by Holland and Mond. In the non quasihomogeneous case, we give a necessary condition for the logarithmic comparison theorem in terms of the Gauss-Manin system of the singularity. It shows in particular that the logarithmic comparison theorem can hold for a non quasihomogeneous singularity only if 1 is an eigenvalue of the monodromy.

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Mathias Schulze. 2008-07-02. Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities. https://doi.org/10.1515/advgeom.2010.023

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