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arXiv · 1901.09373

Mirror symmetry for K3 surfaces

C. J. Bott·Paola Comparin·Nathan Priddis
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Abstract

For certain K3 surfaces, there are two constructions of mirror symmetry that are very different. The first, known as BHK mirror symmetry, comes from the Landau-Ginzburg model for the K3 surface; the other, known as LPK3 mirror symmetry, is based on a lattice polarization of the K3 surface in the sense of Dolgachev's definition. There is a large class of K3 surfaces for which both versions of mirror symmetry apply. In this class we consider the K3 surfaces admitting a certain purely nonsymplectic automorphism of order 4, 8, or 12, and we complete the proof that these two formulations of mirror symmetry agree for this class of K3 surfaces.

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C. J. Bott, Paola Comparin, Nathan Priddis. 2019-01-27. Mirror symmetry for K3 surfaces. https://arxiv.org/abs/1901.09373

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