  We show that the category of coherent sheaves on the toric boundary divisor
of a smooth quasiprojective toric DM stack is equivalent to the wrapped Fukaya
category of a hypersurface in a complex torus. Hypersurfaces with every Newton
polytope can be obtained.
  Our proof has the following ingredients. Using recent results on
localization, we may trade wrapped Fukaya categories for microlocal sheaf
theory along the skeleton of the hypersurface. Using Mikhalkin-Viro
patchworking, we identify the skeleton of the hypersurface with the boundary of
the Fang-Liu-Treumann-Zaslow skeleton. By proving a new functoriality result
for Bondal's coherent-constructible correspondence, we reduce the sheaf
calculation to Kuwagaki's recent theorem on mirror symmetry for toric
varieties.
