On singularity types of del Pezzo surfaces with rational double points in positive characteristic
Algebraic Geometry
2020-08-18 v2
Abstract
In this paper, we prove that a pair of the minimal resolution of a del Pezzo surface with rational double points whose general anti-canonical member is smooth and its exceptional divisor lifts to the Witt ring. We also classify a del Pezzo surface with rational double points whose anti-canonical members are all singular. As a corollary, we determine all singularity types of del Pezzo surfaces with rational double points which only appear in positive characteristic.
Keywords
Cite
@article{arxiv.2006.04457,
title = {On singularity types of del Pezzo surfaces with rational double points in positive characteristic},
author = {Tatsuro Kawakami and Masaru Nagaoka},
journal= {arXiv preprint arXiv:2006.04457},
year = {2020}
}
Comments
This preprint has been withdrawn by the authors because all results have been contained in our new preprint