Analytic solutions of holomorphic foliations using Newton polyhedra

par Prof. Beatriz Molina Samper (Université de Valladolid)

mercredi 3 avr. 2024, 14:00 → 15:00 Europe/Paris

Salle Pellos (207) (Institut de Mathématiques de Toulouse, bât. 1R2)

In this talk we introduce the family of Newton non-degenerate codimension one foliations: they are foliations satisfying certain algebraic conditions in terms of Newton polyhedra.  We provide a result of globalization of invariant branches for such a kind of foliations defined on projective toric surfaces. These results can be applied to show existence of analytic solutions for some germs of codimension one foliations in dimension three.