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We generalize the recently proposed mechanism by Demirtas, Kim, McAllister and Moritz [1]  for the explicit construction of type IIB flux vacua with|    W  0    |  ≪  1to the region close to the conifold locus in the complex structure moduli space. For that purpose tools are developed to determine the periods and the resulting prepotential close to such a codimension one locus with all the remaining moduli still in the large complex structure regime. As a proof of principle we present a working example for the Calabi‐Yau manifold    P   1  ,  1  ,  2  ,  8  ,  12    . [24]

Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold