@article{10902/34026,
year = {2024},
url = {https://hdl.handle.net/10902/34026},
abstract = {In this work we describe dicritical foliations in (C2, 0) at a triple point of the resolution dual
graph of an analytic plane branch C using its semiroots. In particular, we obtain a constructive method to present a one-parameter family Cu of separatrices for such foliations. As a by-product we relate the contact order between a special member of Cu and C with analytic discrete invariants of plane branches.},
organization = {The authors are supported by the Spanish research projects PID2019-105621GB-I00 and PID2022-139631NB-I00 funded by the Agencia Estatal de Investigacion - Ministerio de Ciencia e Innovación, Spain. The second author is also supported by the research project 303638/2020-6 funded by CNPq-Brazil.},
publisher = {Elsevier},
publisher = {Expositiones Mathematicae, 2024, 42(5), 125591},
title = {Dicritical foliations and semiroots of plane branches},
author = {Corral Pérez, Nuria and Hernandes, Marcelo E. and Rodrigues Hernandes, M. E.},
}