Institut de Mathématiques de Toulouse

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2 événements


  • Systèmes Dynamiques

    Vendredi 29 mars 10:30-11:30 - Yadollah Zare

    Projective logarithmic and pull-back foliations with an invariant line.

    Résumé : The space of projective foliations of degree d with a center singularity is an algebraically closed set and it has many irreducible components. H. Movasati has shown that the space of foliation of degree d with the first integral of the form $\frac{F^p}{G^q}$ is an irreducible component of such space. Here we prove that projective logarithmic and pull-back foliations with an invariant line of degree d are two irreducible components of such a space. The concepts of this work are Picard-Lefschetz of some spacial rational functions, iterated integrals and abelian integrals.

    Lieu : salle 207, bat 1R2

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