Toric morphisms and fibrations of toric Calabi-Yau hypersurfaces

Simple item page
dc.creatorHu, Yi
dc.creatorLiu, Chien-Hao
dc.creatorYau, Shing-Tung
dc.date2000-10-09
dc.date2004-01-02
dc.date.accessioned2026-07-07T06:31:48Z
dc.date.available2026-07-07T06:31:48Z
dc.descriptionSpecial fibrations of toric varieties have been used by physicists, e.g. the school of Candelas, to construct dual pairs in the study of Het/F-theory duality. Motivated by this, we investigate in this paper the details of toric morphisms between toric varieties. In particular, a complete toric description of fibers - both generic and non-generic -, image, and the flattening stratification of a toric morphism are given. Two examples are provided to illustrate the discussions. We then turn to the study of the restriction of a toric morphism to a toric hypersurface. The details of this can be understood by the various restrictions of a line bundle with a section that defines the hypersurface. These general toric geometry discussions give rise to a computational scheme for the details of a toric morphism and the induced fibration of toric hypersurfaces therein. We apply this scheme to study the family of 4-dimensional elliptic Calabi-Yau toric hypersurfaces that appear in a recent work of Braun-Candelas-dlOssa-Grassi. The Maple codes that are employed for the computation are provided. Some directions for future work are listed in the end.
dc.description56 pages; Maple codes are included
dc.identifierhttps://arxiv.org/abs/math/0010082
dc.identifierhttp://arxiv.org/abs/math/0010082
dc.identifierAdv.Theor.Math.Phys. 6 (2003) 457-505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98717
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleToric morphisms and fibrations of toric Calabi-Yau hypersurfaces
dc.typetext

Files

Collections

arXiv