English

Manifolds with two projective bundle structures

Algebraic Geometry 2023-07-04 v1

Abstract

In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana--Peternell conjecture for varieties of Picard number one admitting C\mathbb C^*-actions of a certain kind.

Keywords

Cite

@article{arxiv.2001.06215,
  title  = {Manifolds with two projective bundle structures},
  author = {Gianluca Occhetta and Luis E. Solá Conde and Eleonora A. Romano},
  journal= {arXiv preprint arXiv:2001.06215},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-23T13:13:47.560Z