Berglund-H\"ubsch-Krawitz Mirrors via Shioda Maps
Algebraic Geometry
2013-04-12 v1
Abstract
We give an elementary approach to proving the birationality of multiple Berglund-H\"ubsch-Krawitz (BHK) mirrors by using Shioda maps. We do this by creating a birational picture of the BHK correspondence in general. Although a similar result has been obtained in recent months by Shoemaker, our proof is new in that it sidesteps using toric geometry and drops an unnecessary hypothesis. We give an explicit quotient of a Fermat variety to which the mirrors are birational.
Cite
@article{arxiv.1304.3417,
title = {Berglund-H\"ubsch-Krawitz Mirrors via Shioda Maps},
author = {Tyler L. Kelly},
journal= {arXiv preprint arXiv:1304.3417},
year = {2013}
}
Comments
15 pages