Calabi-Yau components in general type hypersurfaces (Q1036197)

In this paper, authors construct open covers of the one parameter family \((V,\{ \Omega_{i}\}^{p_{g}}_{i=1} )\) of general type hypersurfaces with bases of holomorphic \(n\) forms via tropical geometry. They also show that each holomorphic \(n\) form is approximately supported on a unique open set from the cover and Lagrangian fibers in the fibration, constructed by Mikhalkin on general type hypersurfaces on \(\mathbb{P}^{n+1}\), are asymptotically Lagrangian. These results will help to understand the mirror symmetry for general type manifolds.