BHK mirror symmetry for K3 surfaces with non-symplectic automorphism
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 mirro...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.1704.00354 |