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.

47 pages, final version

References in corpus (1)

• Connected algebraic groups acting on three-dimensional Mori fibrations

Cited by in corpus (3)

• Connected algebraic groups acting on three-dimensional Mori fibrations
• Forms of almost homogeneous varieties over perfect fields
• Connected algebraic groups acting on Fano fibrations over ${\mathbb{P}}^1$