On rank one log del Pezzo surfaces in characteristic different from two and three
Algebraic Geometry
2021-09-15 v3
Abstract
We classify all log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic different from two and three. We also discuss some consequences of the classification. For example, we show that log del Pezzo surfaces of Picard number one defined over algebraically closed fields of characteristic higher than five admit a log resolution that lifts to characteristic zero over a smooth base.
Keywords
Cite
@article{arxiv.2005.14544,
title = {On rank one log del Pezzo surfaces in characteristic different from two and three},
author = {Justin Lacini},
journal= {arXiv preprint arXiv:2005.14544},
year = {2021}
}
Comments
81 pages; typos and minor mistakes corrected. arXiv admin note: text overlap with arXiv:alg-geom/9707016 by other authors