Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities
Algebraic Geometry
2010-11-09 v2
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.
Keywords
Cite
@article{arxiv.0706.2512,
title = {Logarithmic comparison theorem versus Gauss-Manin system for isolated singularities},
author = {Mathias Schulze},
journal= {arXiv preprint arXiv:0706.2512},
year = {2010}
}