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

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dc.creatorHaase, Christian
dc.creatorZharkov, Ilia
dc.date2002-05-30
dc.date.accessioned2026-07-07T04:48:48Z
dc.date.available2026-07-07T04:48:48Z
dc.descriptionWe 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.
dc.description26 pages, 16 figures, see also http://www.duke.edu/~haase, or http://www.duke.edu/~zharkov
dc.identifierhttps://arxiv.org/abs/math/0205321
dc.identifierhttp://arxiv.org/abs/math/0205321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64190
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14J32 (Primary) 14M25 (Secondary)
dc.titleIntegral affine structures on spheres and torus fibrations of Calabi-Yau toric hypersurfaces I
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