Algebraic integrability of foliations by extension to Hirzebruch surfaces. Applications to bounded negativity. 

Pérez-Callejo, Elvira (Date of defense: 2023-12-21)

We make progress on two open mathematical problems: the problem of algebraic integrability of polynomial foliations on $\mathbb{C}^2$ and the bounded negativity conjecture. For the first one, we identify $\mathbb{C}^2$ ...