Birational geometry of blowups via Weyl chamber decompositions and actions on curves

Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel +1

We study the birational geometry of $X_s^n$, the blow-up of ${\mathbb{P}}_{\mathbb{C}}^n$ at $s$ points in general position. We identify a set of subvarieties, which we call Weyl $r$-p…