Calabi-Yau Manifolds with Large Volume Vacua
  We describe an efficient, construction independent, algorithmic test to determine whether Calabi--Yau threefolds admit a structure compatible with the Large Volume moduli stabilization scenario of type IIB superstring theory. Using the algorithm, we scan complete intersection and toric hypersurface Calabi-Yau threefolds with $2 \leq h^{1,1} \le 4$ and deduce that 418 among 4434 manifolds have a Large Volume Limit with a single large four-cycle. We describe major extensions to this survey, which are currently underway. 
James Gray, Yang-Hui He, Vishnu Jejjala, Benjamin Jurke, Brent D.   Nelson, and Joan Sim\'on
hep-th hep-ph