Holomorphic foliations in having an invariant algebraic curve
Dominique Cerveau; Alcides Lins Neto
Annales de l'institut Fourier (1991)
- Volume: 41, Issue: 4, page 883-903
- ISSN: 0373-0956
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topCerveau, Dominique, and Neto, Alcides Lins. "Holomorphic foliations in ${\mathbb {C}}{\mathbb {P}}(2)$ having an invariant algebraic curve." Annales de l'institut Fourier 41.4 (1991): 883-903. <http://eudml.org/doc/74943>.
@article{Cerveau1991,
abstract = {We give estimations for the degree of separatrices of algebraic foliations in $\{\bf CP\}(2)$.},
author = {Cerveau, Dominique, Neto, Alcides Lins},
journal = {Annales de l'institut Fourier},
keywords = {holomorphic foliations; invariant algebraic curve; separatrices; algebraic foliations},
language = {eng},
number = {4},
pages = {883-903},
publisher = {Association des Annales de l'Institut Fourier},
title = {Holomorphic foliations in $\{\mathbb \{C\}\}\{\mathbb \{P\}\}(2)$ having an invariant algebraic curve},
url = {http://eudml.org/doc/74943},
volume = {41},
year = {1991},
}
TY - JOUR
AU - Cerveau, Dominique
AU - Neto, Alcides Lins
TI - Holomorphic foliations in ${\mathbb {C}}{\mathbb {P}}(2)$ having an invariant algebraic curve
JO - Annales de l'institut Fourier
PY - 1991
PB - Association des Annales de l'Institut Fourier
VL - 41
IS - 4
SP - 883
EP - 903
AB - We give estimations for the degree of separatrices of algebraic foliations in ${\bf CP}(2)$.
LA - eng
KW - holomorphic foliations; invariant algebraic curve; separatrices; algebraic foliations
UR - http://eudml.org/doc/74943
ER -
References
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- [3] J. C. JOUANOLOU, Equations de Pfaff algébriques, Lect. Notes in Math., 708 (1979). Zbl0477.58002MR81k:14008
- [4] A. LINS NETO, Algebraic solutions of polynomial differential equations and foliations in dimension two, in Holomorphic dynamics, Lect. Notes in Math., 1345 (1988). Zbl0677.58036MR90c:58142
- [5] POINCARÉ, Sur l'intégration algébrique des équations diff. du 1er ordre, Rendiconti del circolo matematico di Palermo, t. 11, p. 193-239. JFM28.0292.01
- [6] K. SAÏTO, On a generalisation of the Rham Lemma, Ann. Inst. Fourier, 26-2 (1976), 165-170. Zbl0338.13009MR54 #1276
- [7] K. SAÏTO, Quasi homogene isolierte singularitäten von Hyperflächen, Invent. Math., 14 (1971), 123-142. Zbl0224.32011MR45 #3767
- [8] C. CAMACHO, A. LINS NETO, P. SAD, Topological invariants and equidesingularization for holomorphic vector fields, J. of Diff. Geometry, vol. 20, n° 1 (1984), 143-174. Zbl0576.32020MR86d:58080
Citations in EuDML Documents
top- Henryk Żołądek, On algebraic solutions of algebraic Pfaff equations
- Olivier Ripoll, Julien Sebag, Tissus du plan et polynômes de Darboux
- S. C. Coutinho, A constructive proof of the Density of Algebraic Pfaff Equations without Algebraic Solutions
- Alcides Lins Neto, Some examples for the Poincaré and Painlevé problems
- A. Lins Neto, P. Sad, B. Scárdua, On topological rigidity of projective foliations
- B. Azevedo Scárdua, Transversely affine and transversely projective holomorphic foliations
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