Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

Bong H. Lian; Andrey Todorov; Shing-Tung Yau

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Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

Bong H. Lian·Andrey Todorov·Shing-Tung Yau

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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$^{N}-id)^{n}\neq0,$ i.e the monodromy operator is maximal unipotent.

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BibTeX RIS

Bong H. Lian, Andrey Todorov, Shing-Tung Yau. 2000-08-08. Maximal Unipotent Monodromy for Complete Intersection CY Manifolds. https://arxiv.org/abs/math/0008061

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