English

A note about rational surfaces as unions of affine planes

Algebraic Geometry 2022-03-23 v2

Abstract

We prove that any smooth rational projective surface over the field of complex numbers has an open covering consisting of 3 subsets isomorphic to affine planes.

Keywords

Cite

@article{arxiv.2203.09107,
  title  = {A note about rational surfaces as unions of affine planes},
  author = {Jorge Caravantes and J. Rafael Sendra and David Sevilla and Carlos Villarino},
  journal= {arXiv preprint arXiv:2203.09107},
  year   = {2022}
}

Comments

Added a remark to solve a missing case