English

On blowing up the weighted projective plane

Algebraic Geometry 2025-07-08 v1

Abstract

We investigate the blow-up of a weighted projective plane at a general point. We provide criteria and algorithms for testing if the result is a Mori dream surface and we compute the Cox ring in several cases. Moreover applications to the study of M0,n\overline{M}_{0,n} are discussed.

Keywords

Cite

@article{arxiv.1608.04542,
  title  = {On blowing up the weighted projective plane},
  author = {Juergen Hausen and Simon Keicher and Antonio Laface},
  journal= {arXiv preprint arXiv:1608.04542},
  year   = {2025}
}

Comments

19 pages

R2 v1 2026-06-22T15:20:49.582Z