Smoothable del Pezzo surfaces with quotient singularities
Algebraic Geometry
2019-02-20 v2
Abstract
We give a complete classification of del Pezzo surfaces with quotient singularities and Picard rank 1 which admit a Q-Gorenstein smoothing. There are 14 infinite families of toric examples. The surfaces in each family correspond to solutions of a Markov-type equation. The remaining surfaces are obtained as deformations of the toric surfaces or belong to a finite list of sporadic surfaces.
Cite
@article{arxiv.0808.1550,
title = {Smoothable del Pezzo surfaces with quotient singularities},
author = {Paul Hacking and Yuri Prokhorov},
journal= {arXiv preprint arXiv:0808.1550},
year = {2019}
}
Comments
36 pages. v2: corrected attribution of Prop. 2.7, added reference