English

Notes on cylinders in smooth projective surfaces

Algebraic Geometry 2023-04-26 v1

Abstract

In this article, we determine the existing condition of cylinders in smooth minimal geometrically rational surfaces over a perfect field. Furthermore, we show that for any birational map between smooth projective surfaces, one contains a cylinder if and only if so does the other.

Keywords

Cite

@article{arxiv.2204.08864,
  title  = {Notes on cylinders in smooth projective surfaces},
  author = {Masatomo Sawahara},
  journal= {arXiv preprint arXiv:2204.08864},
  year   = {2023}
}

Comments

11 pages

R2 v1 2026-06-24T10:52:05.934Z