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arXiv · 1704.00354

BHK mirror symmetry for K3 surfaces with non-symplectic automorphism

Paola Comparin·Nathan Priddis
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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.

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Paola Comparin, Nathan Priddis. 2017-04-02. BHK mirror symmetry for K3 surfaces with non-symplectic automorphism. https://arxiv.org/abs/1704.00354

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