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Published in:

2015 | OriginalPaper | Chapter

# Reflexive Polytopes and Lattice-Polarized K3 Surfaces

Author: Ursula Whitcher

Publisher: Springer New York

## Abstract

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.
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