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arXiv · 1709.01451

On 1-forms on isolated complete intersection curve singularities

Alexandru Dimca·Gert-Martin Greuel
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Abstract

We collect some classical results about holomorphic 1-forms of a reduced complex curve singularity. They are used to study the pull-back of holomorphic 1-forms on an isolated complete intersection curve singularity under the normalization morphism. We wonder whether the Milnor number $\mu$ and the Tjurina number $\tau$ of any isolated plane curve singularity satisfy the inequality $3\mu <4\tau$.

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Alexandru Dimca, Gert-Martin Greuel. 2017-09-05. On 1-forms on isolated complete intersection curve singularities. https://arxiv.org/abs/1709.01451

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