Necessary conditions on Calabi-Yau manifolds for 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 ≤ h1,1 ≤ 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. [ABSTRACT FROM AUTHOR]