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BHK mirror symmetry for K3 surfaces with non-symplectic automorphism

Published 2 Apr 2017 in math.AG | (1704.00354v2)

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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Authors (2)

  1. Paola Comparin 
  2. Nathan Priddis 

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