English

Del Pezzo surfaces of Picard number one admitting a torus action

Algebraic Geometry 2025-04-30 v2

Abstract

We present efficient classification algorithms for log del Pezzo surfaces with torus action of Picard number one and given Gorenstein index. Explicit results are obtained up to Gorenstein index 200.

Keywords

Cite

@article{arxiv.2207.14790,
  title  = {Del Pezzo surfaces of Picard number one admitting a torus action},
  author = {Daniel Haettig and Beatrice Hafner and Juergen Hausen and Justus Springer},
  journal= {arXiv preprint arXiv:2207.14790},
  year   = {2025}
}

Comments

34 pages, to appear in Ann. Mat. Pura Appl