Maximal unipotent monodromy for complete intersection CY manifolds
نویسندگان
چکیده
منابع مشابه
Maximal Unipotent Monodromy for Complete Intersection CY Manifolds
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 i...
متن کاملShafarevich’s Conjecture for CY Manifolds I (Moduli of CY Manifolds)
In this paper we first study the moduli spaces related to Calabi-Yau manifolds. We then apply the results to the following problem. Let C be a fixed Riemann surface with fixed finite number of points on it. Given a CY manifold with fixed topological type, we consider the set of all families of CY manifolds of the fixed topological type over C with degenerate fibres over the fixed points up to i...
متن کاملThe Picard-fuchs Equation of a Family of Calabi-yau Threefolds without Maximal Unipotent Monodromy
Recently J.C. Rohde constructed families of Calabi-Yau threefolds parametrised by Shimura varieties. The points corresponding to threefolds with CM are dense in the Shimura variety and, moreover, the families do not have boundary points with maximal unipotent monodromy. Both aspects are of interest for Mirror Symmetry. In this paper we discuss one of Rohde’s examples in detail and we explicitly...
متن کاملThe Rigidity of Families of Projective Calabi-yau Manifolds
In this paper, author studies the rigidity of the family of Calabi-Yau manifolds via the main tools: Variation of Hodge Structure and Higgs bundle. He Shows that some important families are rigid,for example : Lefschetz pencils of odd dimensional Calabi-Yau manifolds are rigid; Strong degenerated families are rigid;the families of CY manifolds admitting a degeneration with maximal unipotent mon...
متن کاملIntersection Cohomology, Monodromy, and the Milnor Fiber
We say that a complex analytic space, X is an intersection cohomology manifold if and only if the shifted constant sheaf on X is isomorphic to intersection cohomology. Given an analytic function f on an intersection cohomology manifold, we describe a simple relation between V (f) being an intersection cohomology manifold and the vanishing cycle Milnor monodromy of f . As an easy application, we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2005
ISSN: 1080-6377
DOI: 10.1353/ajm.2005.0006