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The dynamics of the Jouanolou foliation on the complex projective 2-space

Published online by Cambridge University Press:  04 June 2001

CESAR CAMACHO and
LUIZ HENRIQUE DE FIGUEIREDO
CESAR CAMACHO
Affiliation:
IMPA—Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, RJ, Brazil (e-mail: camacho@impa.br, lhf@impa.br)
LUIZ HENRIQUE DE FIGUEIREDO
Affiliation:
IMPA—Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, RJ, Brazil (e-mail: camacho@impa.br, lhf@impa.br)
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Abstract

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We prove that the Jouanolou foliation of degree k ≤ 5 admits no non-trivial minimal sets. The proof uses reliable computations based on interval arithmetic.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001, pp. 757 - 766
Copyright
2001 Cambridge University Press