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

Abstract

In this paper we provide the complete classification of $\mathbb{P}^1$-bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal. Our results hold over any algebraically closed field of characteristic zero.

Keywords

• mathematics - algebraic geometry
• 14e07, 14m17, 14m20, 14l30, 14j30, 14j60, 14d20