Integral Affine Structures on Spheres Duke-cgtp-03-01 and Torus Fibrations of Calabi-yau Toric Hypersurfaces Ii
نویسندگان
چکیده
This paper is a continuation of our paper [HZ02] where we have built a combinatorial model for the torus fibrations of Calabi-Yau toric hypersurfaces. This part addresses the connection between the model torus fibration and the complex and Kähler geometry of the hypersurfaces.
منابع مشابه
Integral Affine Structures on Spheres Duke-cgtp-02-05 and Torus Fibrations of Calabi-yau Toric Hypersurfaces I
We describe in purely combinatorial terms dual pairs of integral affine structures on spheres which come from the conjectural metric collapse of mirror families of Calabi-Yau toric hypersurfaces. The same structures arise on the base of a special Lagrangian torus fibration in the Strominger-Yau-Zaslow conjecture. We study the topological torus fibration in the large complex structure limit and ...
متن کاملStructures on Spheres Duke - Cgtp - 05 - 03 Iii : Complete Intersections
We extend our model for affine structures on toric Calabi-Yau hypersurfaces [HZ02] to the case of complete intersections.
متن کاملA pr 2 00 3 LIMITING BEHAVIOR OF LOCAL CALABI - YAU METRICS DUKE - CGTP - 03 - 02 ILIA ZHARKOV
We use a generalization of the Gibbons-Hawking ansatz to study the behavior of certain non-compact Calabi-Yau manifolds in the large complex structure limit. This analysis provides an intermediate step toward proving the metric collapse conjecture for toric hypersurfaces and complete intersections.
متن کاملGeneralized special Lagrangian torus fibration for Calabi-Yau hypersurfaces in toric varieties I
In this paper we start the program of constructing generalized special Lagrangian torus fibrations for Calabi-Yau hypersurfaces in toric variety near the large complex limit, with respect to the restriction of a toric metric on the toric variety to the Calabi-Yau hypersurface. The construction is based on the deformation of the standard toric generalized special Lagrangian torus fibration of th...
متن کاملTorus Fibrations of Calabi-yau Hypersurfaces in Toric Varieties
1. Introduction. Strominger, Yau, and Zaslow [SYZ] conjectured that any Calabi-Yau manifold X having a mirror partner X ∨ should admit a special Lagrangian fi-bration π : X → B. (A mathematical account of their construction can be found in [M].) If so, the mirror manifold X ∨ is obtained by finding some suitable compactifi-cation of the moduli space of flat U(1)-bundles along the nonsingular fi...
متن کامل