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Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

2000/08/08 by Bong H. Lian, Lian, Bong H., Andrey Todorov +4
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #hep-th #math.AG

paper · pdf · doi:10.48550/arxiv.math/0008061

Latex 33 pages

arxiv created 2000/08/08 · openalex publication_date 2000/08/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 (TN-id)n+1=0 but (TN-id)n≠0, i.e the monodromy operator is maximal unipotent.

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