Mirror symmetry for K3 surfaces
Algebraic Geometry
2019-01-29 v1
Abstract
For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror symmetry, is based on a lattice polarization of the K3 surface in the sense of Dolgachev's definition. There is a large class of K3 surfaces for which both versions of mirror symmetry apply. In this class we consider the K3 surfaces admitting a certain purely nonsymplectic automorphism of order 4, 8, or 12, and we complete the proof that these two formulations of mirror symmetry agree for this class of K3 surfaces.
Cite
@article{arxiv.1901.09373,
title = {Mirror symmetry for K3 surfaces},
author = {C. J. Bott and Paola Comparin and Nathan Priddis},
journal= {arXiv preprint arXiv:1901.09373},
year = {2019}
}
Comments
26 pages