TY - JOUR
T1 - Dicritical nilpotent holomorphic foliations
AU - Fernández-Sánchez, Percy
AU - Mozo-Fernández, Jorge
AU - Neciosup, Hernán
N1 - Publisher Copyright:
© 2018 American Institute of Mathematical Sciences. All rights reserved.
PY - 2018/7
Y1 - 2018/7
N2 - We study in this paper several properties concerning singularities of foliations in (C3, 0) that are pull-back of dicritical foliations in (C2, 0). Particularly, we will investigate the existence of first integrals (holomorphic and meromorphic) and the dicriticalness of such a foliation. In the study of meromorphic first integrals we follow the same method used by R. Meziani and P. Sad in dimension two. While the foliations we study are pull-back of foliations in (C2, 0), the adaptations are not straightforward.
AB - We study in this paper several properties concerning singularities of foliations in (C3, 0) that are pull-back of dicritical foliations in (C2, 0). Particularly, we will investigate the existence of first integrals (holomorphic and meromorphic) and the dicriticalness of such a foliation. In the study of meromorphic first integrals we follow the same method used by R. Meziani and P. Sad in dimension two. While the foliations we study are pull-back of foliations in (C2, 0), the adaptations are not straightforward.
KW - Holomorphic foliations, dicritical foliations.
UR - http://www.scopus.com/inward/record.url?scp=85046352384&partnerID=8YFLogxK
U2 - 10.3934/dcds.2018140
DO - 10.3934/dcds.2018140
M3 - Article
AN - SCOPUS:85046352384
SN - 1078-0947
VL - 38
SP - 3223
EP - 3237
JO - Discrete and Continuous Dynamical Systems- Series A
JF - Discrete and Continuous Dynamical Systems- Series A
IS - 7
ER -