Reflexive Polytopes and Lattice-Polarized K3 Surfaces
Algebraic Geometry
2017-02-21 v1
Abstract
In this expository note, we review the standard formulation of mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, and compare this construction to a description of mirror symmetry for K3 surfaces which relies on a sublattice of the Picard lattice. We then show how to combine information about the Picard group of a toric ambient space with data about automorphisms of the toric variety to identify families of K3 surfaces with high Picard rank.
Cite
@article{arxiv.1702.05522,
title = {Reflexive Polytopes and Lattice-Polarized K3 Surfaces},
author = {Ursula Whitcher},
journal= {arXiv preprint arXiv:1702.05522},
year = {2017}
}
Comments
Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Fields Institute Monographs, 2015