On the Saito's basis and the Tjurina Number for Plane Branches
classification
🧮 math.AG
math.ACmath.DS
keywords
numberplanetjurinabasiscurvesaitoanswerbranches
read the original 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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