Del Pezzo surfaces with 1/3(1,1) points
Algebraic Geometry
2015-10-07 v2
Abstract
We classify del Pezzo surfaces with 1/3(1,1) points in 29 qG-deformation families grouped into six unprojection cascades (this overlaps with work of Fujita and Yasutake), we tabulate their biregular invariants, we give good model constructions for surfaces in all families as degeneracy loci in rep quotient varieties and we prove that precisely 26 families admit qG-degenerations to toric surfaces. This work is part of a program to study mirror symmetry for orbifold del Pezzo surfaces.
Cite
@article{arxiv.1505.02092,
title = {Del Pezzo surfaces with 1/3(1,1) points},
author = {Alessio Corti and Liana Heuberger},
journal= {arXiv preprint arXiv:1505.02092},
year = {2015}
}
Comments
42 pages. v2: model construction added of last remaining surface, minor corrections, minor changes to presentation, references added