The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order
Paola Comparin, Christopher Lyons, Nathan Priddis, Rachel Suggs
TL;DR
This paper explores the mirror symmetry of K3 surfaces with prime order automorphisms, linking Berglund-Huebsch-Chiodo-Ruan and Dolgachev's lattice polarization frameworks.
Contribution
It establishes a correspondence between two different mirror symmetry constructions for K3 surfaces with non-symplectic automorphisms of prime order.
Findings
Identifies a connection between Berglund-Huebsch-Chiodo-Ruan and Dolgachev's mirror symmetry.
Provides a classification of K3 surfaces with prime order automorphisms.
Enhances understanding of mirror symmetry in the context of automorphisms.
Abstract
We consider K3 surfaces that possess certain automorphisms of prime order p>2 and we present, for these surfaces, a correspondence between the mirror symmetry of Berglund-Huebsch-Chiodo-Ruan and that for lattice polarized K3 surfaces presented by Dolgachev.
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