On the Saito's basis and the Tjurina Number for Plane Branches
Algebraic Geometry
2019-04-26 v3 Commutative Algebra
Dynamical Systems
Abstract
We introduce the concept of good Saito's basis for a plane curve 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.
Keywords
Cite
@article{arxiv.1904.03645,
title = {On the Saito's basis and the Tjurina Number for Plane Branches},
author = {Marcelo E. Hernandes and Yohann Genzmer},
journal= {arXiv preprint arXiv:1904.03645},
year = {2019}
}