The web of Calabi-Yau hypersurfaces in toric Fano 4-folds (I)
Sz-Sheng Wang ( National Taiwan University )
2015-04-17 09:10 - 11:00
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
Using an inclusion of one reflexive polytope into another is a well-known strategy for connecting the moduli spaces of two Calabi-Yau families. In this talk, we will discuss, Fredrickson's result , 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. As an application, we will show how the result, [1, Theorem 4.9], can be used to construct an extremal transition between families of smooth CY threefolds, given any proper inclusion of reflexive 4-polytopes.
Ref.  Karl Fredrickson, Generalized compactifications of Batyrev hypersurface families, arXiv:1410.8287.