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Mathematics  1999 

Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case

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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.


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