R. Terpereau

Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces in positive characteristic

We study $\mathbb{P}^1$-bundles over smooth projective rational surfaces over an algebraically closed field of characteristic $p>0$, together with the actions of their neutral automorphism groups. After an equivariant square birational reduction to the projective plane or a Hirzebruch surface, we classify the possible...