Classifying log del Pezzo surfaces with torus action
Algebraic Geometry
2025-06-10 v1
Abstract
We consider log del Pezzo surfaces coming with a non-trivial torus action. Such a surface is 1/k-log canonical if it allows a resolution of singularities with discrepanies all greater or equal to 1/k-1. We provide a concrete classification algorithm for fixed k and give explicit results for k=1, 2 and 3. This comprises in particular the cases of Gorenstein index 1, 2 and 3.
Cite
@article{arxiv.2302.03095,
title = {Classifying log del Pezzo surfaces with torus action},
author = {Daniel Haettig and Juergen Hausen and Justus Springer},
journal= {arXiv preprint arXiv:2302.03095},
year = {2025}
}
Comments
57 pages