Generalized compactifications of Batyrev hypersurface families
arXiv:1410.8287
Abstract
We show how Calabi-Yau hypersurface families arising from Batyrev's construction can be resolved and compactified using a type of fan more general than an MPCP resolution. This can lead to smooth projective compactifications that are not obtainable from the original construction. In the threefold case, we show that generic members of the resulting family are always smooth.
19 pages, v3: main result extended to all four-dimensional reflexive polytopes