## Seminari IMAC sobre Estructures Algebraiques i Teoria de codis correctors d'errors: Necessary conditions for algebraic integrability of plane foliations.

10/11/2021 | imac
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Abstract: We consider foliations $\mathcal{F}$ with isolated singularities on $\mathbb{C}^2$ and determine some necessary conditions for $\mathcal{F}$ to admit a rational first integral. These criteria are based on data obtained from the resolution of dicritical singularities of the extended foliation to a Hirzebruch surfaces.    (This is a work in progress together with C. Galindo and F.Monserrat).