TY - JOUR
T1 - Differentiable equisingularity of holomorphic foliations
AU - Mol, Rogério
AU - Rosas, Rudy
N1 - Publisher Copyright:
© 2019, Worldwide Center of Mathematics. All rights reserved.
PY - 2019
Y1 - 2019
N2 - We prove that a C∞ equivalence between germs of holomorphic foliations at (C2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.
AB - We prove that a C∞ equivalence between germs of holomorphic foliations at (C2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.
KW - Equidesingularization
KW - Holomorphic foliations
KW - Invariant curves
KW - Vector fields
UR - http://www.scopus.com/inward/record.url?scp=85073273862&partnerID=8YFLogxK
U2 - 10.5427/jsing.2019.19f
DO - 10.5427/jsing.2019.19f
M3 - Article
AN - SCOPUS:85073273862
SN - 1949-2006
VL - 19
SP - 76
EP - 96
JO - Journal of Singularities
JF - Journal of Singularities
ER -