# 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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