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arXiv · 1904.03645

On the Saito's basis and the Tjurina Number for Plane Branches

Marcelo E. Hernandes·Yohann Genzmer
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Abstract

We introduce the concept of good Saito's basis for a plane curve $S$ and we explore it to obtain a formula for the minimal Tjurina number in a topological class. In particular, we present a positive answer for a question of Dimca and Greuel relating the Tjurina number and the Milnor number for a singular irreducible plane curve.

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Marcelo E. Hernandes, Yohann Genzmer. 2019-04-07. On the Saito's basis and the Tjurina Number for Plane Branches. https://arxiv.org/abs/1904.03645

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