3 citations · 4 across the 4 of their papers we have counts for
4 papers
Generalized compactifications of Batyrev hypersurface families
Karl Fredrickson
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…
Extremal transitions from nested reflexive polytopes
Karl Fredrickson
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 paper we look at the questio…
Resolution of degenerate mirror families via toric morphisms
Karl Fredrickson
This paper continues the study of two examples of extremal transitions between families of Calabi-Yau threefolds. In a previous paper we suggested that the "mirror transition" betw…
Mirror Transitions and the Batyrev-Borisov construction
Karl Fredrickson
We consider examples of extremal transitions between families of Calabi-Yau complete intersection threefolds in toric varieties, which are induced by toric embeddings of one toric…