Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces
Algebraic Geometry
2022-10-28 v2 Combinatorics
Abstract
We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equivalence classes of Fano polygons with Q-Gorenstein deformation classes of del Pezzo surfaces.
Keywords
Cite
@article{arxiv.1501.05334,
title = {Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces},
author = {Mohammad Akhtar and Tom Coates and Alessio Corti and Liana Heuberger and Alexander Kasprzyk and Alessandro Oneto and Andrea Petracci and Thomas Prince and Ketil Tveiten},
journal= {arXiv preprint arXiv:1501.05334},
year = {2022}
}
Comments
14 pages. v2: references updated