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摘要翻译：
对于拟齐次孤立超曲面奇点，对数比较定理已由Holland和Mond显式刻画。在非拟齐次情形下，利用奇异性的Gauss-Manin系统给出了对数比较定理的一个必要条件。特别地，证明了对数比较定理只有当1是单数的特征值时，才能对非拟齐次奇点成立。
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英文标题：
《Logarithmic comparison theorem versus Gauss-Manin system for isolated
singularities》
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作者：
Mathias Schulze
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
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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PDF链接：
https://arxiv.org/pdf/0706.2512
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