English

Classification of non-$F$-split del Pezzo surfaces of degree $1$

Algebraic Geometry 2025-01-15 v1

Abstract

Using Fedder's criterion, we classify all non-FF-split del Pezzo surfaces of degree 11. We give a necessary and sufficient criterion for the FF-splitting of such del Pezzo surfaces in terms of their anti-canonical system.

Keywords

Cite

@article{arxiv.2501.08126,
  title  = {Classification of non-$F$-split del Pezzo surfaces of degree $1$},
  author = {Gebhard Martin and Réka Wagener},
  journal= {arXiv preprint arXiv:2501.08126},
  year   = {2025}
}

Comments

6 pages, comments welcome!