paper

A mirror duality for families of surfaces associated to bimodular singularities

arXiv:1702.00107 · doi:10.1007/S00229-015-0788-9

Abstract

Ebeling and Ploog \cite{EbelingPloog} studied a duality of bimodular singularities which is part of the Berglund--Hbsch mirror symmetry. Mase and Ueda \cite{MU} showed that this duality leads to a polytope mirror symmetry of families of surfaces. We discuss in this article how this symmetry extends to a symmetry between lattices.

arXiv comment16 pages, 4 tables