New examples of holomorphic foliations without algebraic leaves
Studia Mathematica (1998)
- Volume: 131, Issue: 2, page 137-142
- ISSN: 0039-3223
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topŻołądek, Henryk. "New examples of holomorphic foliations without algebraic leaves." Studia Mathematica 131.2 (1998): 137-142. <http://eudml.org/doc/216569>.
@article{Żołądek1998,
abstract = {We present a series of polynomial planar vector fields without algebraic invariant curves in $CP^2$.},
author = {Żołądek, Henryk},
journal = {Studia Mathematica},
keywords = {foliations; polynomial vector fields; strange limit sets; algebraic leaves; invariant algebraic curves},
language = {eng},
number = {2},
pages = {137-142},
title = {New examples of holomorphic foliations without algebraic leaves},
url = {http://eudml.org/doc/216569},
volume = {131},
year = {1998},
}
TY - JOUR
AU - Żołądek, Henryk
TI - New examples of holomorphic foliations without algebraic leaves
JO - Studia Mathematica
PY - 1998
VL - 131
IS - 2
SP - 137
EP - 142
AB - We present a series of polynomial planar vector fields without algebraic invariant curves in $CP^2$.
LA - eng
KW - foliations; polynomial vector fields; strange limit sets; algebraic leaves; invariant algebraic curves
UR - http://eudml.org/doc/216569
ER -
References
top- [1] J. P. Jouanolou, Equations de Pfaff algébriques, Lecture Notes in Math. 708, Springer, New York, 1979.
- [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. Zbl0677.58036
- [3] H. Żołądek, On algebraic solutions of algebraic Pfaff equations, Studia Math. 114 (1995), 117-126. Zbl0826.34003
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