New examples of holomorphic foliations without algebraic leaves
Żołądek, Henryk
Studia Mathematica, Tome 129 (1998), p. 137-142 / Harvested from The Polish Digital Mathematics Library
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We present a series of polynomial planar vector fields without algebraic invariant curves in CP2.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216569 
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     author = {Henryk \.Zo\l \k adek},
     title = {New examples of holomorphic foliations without algebraic leaves},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {137-142},
     zbl = {0930.34077},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv131i2p137bwm}
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Żołądek, Henryk. New examples of holomorphic foliations without algebraic leaves. Studia Mathematica, Tome 129 (1998) pp. 137-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv131i2p137bwm/

[00000] [1] J. P. Jouanolou, Equations de Pfaff algébriques, Lecture Notes in Math. 708, Springer, New York, 1979.

[00001] [2] A. Lins-Neto, Algebraic solutions of polynomial differential equations and foliations in dimension two, in: Holomorphic Dynamics, Lecture Notes in Math. 1345, Springer, New York, 1988, 193-232. | Zbl 0677.58036

[00002] [3] H. Żołądek, On algebraic solutions of algebraic Pfaff equations, Studia Math. 114 (1995), 117-126. | Zbl 0826.34003