
This repository contains software and data files for the paper "An elliptic approach to Reid's fantasy", by Anderson, Gray, Nally and Taylor. This includes data describing single transitions that take each of the 29,223 toric hypersurface CY3s that is not obviously elliptic or genus one fibered, and each of the 53 CICY CY3s that is not obviously fibered, to a fibered CY3. In each case, the apparently non-fibered CY3 is either already fibered (up to flop equivalance) or can be reached from a fibered CY3 by shrinking a single divisor. Python/sage code is included that generates the full list of 857,695 transitions on the non-fibered toric hypersurface CY3s, and analyzes the properties of these transitions.
