On Brian\c{c}on-Skoda theorem for foliations
Complex Variables
2023-09-26 v1 Algebraic Geometry
Abstract
We generalize Mattei's result relative to the Brian\c{c}on-Skoda theorem for foliations to the family of foliations of the second type. We use this generalization to establish relationships between the Milnor and Tjurina numbers of foliations of second type, inspired by the results obtained by Liu for complex hypersurfaces and we determine a lower bound for the global Tjurina number of an algebraic curve.
Cite
@article{arxiv.2207.11197,
title = {On Brian\c{c}on-Skoda theorem for foliations},
author = {Arturo Fernández-Pérez and Evelia R. García Barroso and Nancy Saravia-Molina},
journal= {arXiv preprint arXiv:2207.11197},
year = {2023}
}
Comments
15 pages. arXiv admin note: substantial text overlap with arXiv:2112.14519