TY - JOUR
T1 - Differentiable Invariants of Holomorphic Foliations
AU - Rosas, Rudy
N1 - Publisher Copyright:
© 2022, Sociedade Brasileira de Matemática.
PY - 2022/12
Y1 - 2022/12
N2 - In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of P2 are differentiably rigid.
AB - In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of P2 are differentiably rigid.
KW - Baum-Bott index
KW - Camacho-Sad index
KW - Holomorphic foliations
KW - Holomorphic vector fields singularities
KW - Invariants of holomorphic foliations
UR - http://www.scopus.com/inward/record.url?scp=85128747517&partnerID=8YFLogxK
U2 - 10.1007/s00574-022-00297-6
DO - 10.1007/s00574-022-00297-6
M3 - Article
AN - SCOPUS:85128747517
SN - 1678-7544
VL - 53
SP - 1107
EP - 1130
JO - Bulletin of the Brazilian Mathematical Society
JF - Bulletin of the Brazilian Mathematical Society
IS - 4
ER -