Torus Fibrations of Calabi-Yau Hypersurfaces in Toric Varieties and Mirror Symmetry

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dc.creatorZharkov, Ilia
dc.date1998-06-17
dc.date.accessioned2026-07-07T05:25:04Z
dc.date.available2026-07-07T05:25:04Z
dc.descriptionWe consider regular Calabi-Yau hypersurfaces in $N$-dimensional smooth toric varieties. On such a hypersurface in the neighborhood of the large complex structure limit point we construct a fibration over a sphere $S^{N-1}$ whose generic fibers are tori $T^{N-1}$. Also for certain one-parameter families of such hypersurfaces we show that the monodromy transformation is induced by a translation of the $T^{N-1}$ fibration by a section. Finally we construct a dual fibration and provide some evidence that it describes the mirror family.
dc.descriptionLaTeX2e, 21 page, 6 figures
dc.identifierhttps://arxiv.org/abs/math/9806091
dc.identifierhttp://arxiv.org/abs/math/9806091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77050
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleTorus Fibrations of Calabi-Yau Hypersurfaces in Toric Varieties and Mirror Symmetry
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