ArticleOriginal scientific text

Title

New examples of holomorphic foliations without algebraic leaves

Authors 1, 2

Affiliations

  1. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 137, 00-950 Warszawa, Poland

Abstract

We present a series of polynomial planar vector fields without algebraic invariant curves in CP2.

Bibliography

  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.
  3. H. Żołądek, On algebraic solutions of algebraic Pfaff equations, Studia Math. 114 (1995), 117-126.
Pages:
137-142
Main language of publication
English
Received
1997-02-20
Accepted
1998-04-03
Published
1998
Exact and natural sciences