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Maximal unipotent monodromy for complete intersection CY manifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 127, Number 1, February 2005
- pp. 1-50
- 10.1353/ajm.2005.0006
- Article
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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 (TN - id)n+1 = 0 but (TN - id)n ≠ 0, i.e., the monodromy operator is maximal unipotent.