English

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

Algebraic Geometry 2026-03-04 v5

Abstract

In this paper we provide the complete classification of P1\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

Cite

@article{arxiv.1707.01462,
  title  = {Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces},
  author = {Jérémy Blanc and Andrea Fanelli and Ronan Terpereau},
  journal= {arXiv preprint arXiv:1707.01462},
  year   = {2026}
}

Comments

47 pages, final version