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A mirror duality for families of $K3$ surfaces associated to bimodular singularities
Published 1 Feb 2017 in math.AG | (1702.00107v1)
Abstract: Ebeling and Ploog \cite{EbelingPloog} studied a duality of bimodular singularities which is part of the Berglund--H$\ddot{\textnormal{u}}$bsch mirror symmetry. Mase and Ueda \cite{MU} showed that this duality leads to a polytope mirror symmetry of families of $K3$ surfaces. We discuss in this article how this symmetry extends to a symmetry between lattices.
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