English

Pull-back of quasi-log structures

Algebraic Geometry 2016-06-21 v2

Abstract

We prove that the pull-back of a quasi-log scheme by a smooth quasi-projective morphism has a natural quasi-log structure. We treat an application to log Fano pairs. This paper also contains a proof of the simple connectedness of log Fano pairs with only log canonical singularities by Kento Fujita.

Keywords

Cite

@article{arxiv.1401.1854,
  title  = {Pull-back of quasi-log structures},
  author = {Osamu Fujino},
  journal= {arXiv preprint arXiv:1401.1854},
  year   = {2016}
}

Comments

13 pages, v2: revision following referee's comments. arXiv admin note: text overlap with arXiv:0907.1506, arXiv:1202.5365

R2 v1 2026-06-22T02:41:46.301Z