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

Published 7 Apr 2019 in math.AG, math.AC, and math.DS | (1904.03645v3)

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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