The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such a point in the moduli space is called a large radius limit (or large complex structure limit). In this paper we are going to construct one parameter families of $n$ dimensional Calabi-Yau manifolds, which are complete intersections in toric varieties and which have a monodromy operator $T$ such that (T$^{ N}-id)^{ n+1}=0$ but (T$^{ N}-id)^{ n}\neq0,$ i.e the monodromy operator is maximal unipotent.
Categories: math.AG hep-th