Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

Abstract

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${}^N-id{)}^n\ne 0,$ i.e the monodromy operator is maximal unipotent.

Latex 33 pages