Integral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I

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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 show that it coincides with our combinatorial model.
26 pages, 16 figures, see also http://www.duke.edu/~haase, or http://www.duke.edu/~zharkov

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Algebraic Geometry, Combinatorics, 14J32 (Primary) 14M25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64190

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205321
 http://arxiv.org/abs/math/0205321

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arXiv