Realization of singular curves in dicritic foliations with prescribed involutions

Autor: Jessica Angélica Jaurez-Rosas, L. Ortiz-Bobadilla
Rok vydání: 2020
Předmět:
Zdroj: Bulletin des Sciences Mathématiques. 163:102896
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2020.102896
Popis: The purpose of this work is to prove that any analytic class of germs of singular curves in ( C 2 , 0 ) having n + 1 pairwise transversal smooth branches can be realized in an appropriate dicritic foliation with prescribed collection of involutions. It is a step towards the thorough understanding of the geometry of the finite parametric (analytic) invariants of singular curves and singular foliations.
Databáze: OpenAIRE