BHK mirror symmetry for K3 surfaces with non-symplectic automorphism
Algebraic Geometry
2018-02-15 v2
Abstract
In this paper we consider the class of K3 surfaces defined as hypersurfaces in weighted projective space, and admitting a non-symplectic automorphism of non-prime order, excluding the orders 4, 8, and 12. We show that on these surfaces the Berglund-H\"ubsch-Krawitz mirror construction and mirror symmetry for lattice polarized K3 surfaces constructed by Dolgachev agree; that is, both versions of mirror symmetry define the same mirror K3 surface.
Keywords
Cite
@article{arxiv.1704.00354,
title = {BHK mirror symmetry for K3 surfaces with non-symplectic automorphism},
author = {Paola Comparin and Nathan Priddis},
journal= {arXiv preprint arXiv:1704.00354},
year = {2018}
}
Comments
23 pages, includes magma code used