Toric Degenerations of Fano Varieties and Constructing Mirror Manifolds

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dc.creatorBatyrev, Victor V.
dc.date1997-12-30
dc.date.accessioned2026-07-07T01:51:27Z
dc.date.available2026-07-07T01:51:27Z
dc.descriptionFor an arbitrary smooth n-dimensional Fano variety $X$ we introduce the notion of a small toric degeneration. Using small toric degenerations of Fano n-folds $X$, we propose a general method for constructing mirrors of Calabi-Yau complete intersections in $X$. Our mirror construction is based on a generalized monomial-divisor mirror correspondence which can be used for computing Gromov-Witten invariants of rational curves via specializations of GKZ-hypergeometric series.
dc.description13 pages, AMS-Latex. This is an extended version of the author's talk given during the Summer Symposium on Algebra at University of Niigata, July 22-25, 1997
dc.identifierhttps://arxiv.org/abs/alg-geom/9712034
dc.identifierhttp://arxiv.org/abs/alg-geom/9712034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/303
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleToric Degenerations of Fano Varieties and Constructing Mirror Manifolds
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