Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case
arXiv:math/9904012
Abstract
In this paper we give a construction of Lagrangian torus fibration for Fermat type quintic \cy hypersurfaces via the method of gradient flow. We also compute the monodromy of the expected special Lagrangian torus fibration and discuss structures of singular fibers.
arXiv comment43 pages, 8 figures. Updated version. Appeared in "Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds", edited by S.-T. Yau and C. Vafa, AMS and International Press
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- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- The moduli space of special Lagrangian submanifolds
- Lagrangian torus fibration and mirror symmetry of Calabi-Yau hypersurface in toric variety
- Torus Fibrations of Calabi-Yau Hypersurfaces in Toric Varieties and Mirror Symmetry