Classification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension

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dc.creatorBatyrev, Victor
dc.creatorJuny, Dorothee
dc.date2009-04-12
dc.date.accessioned2026-07-07T13:03:21Z
dc.date.available2026-07-07T13:03:21Z
dc.descriptionA $n$-dimensional Gorenstein toric Fano variety $X$ is called Del Pezzo variety if the anticanonical class $-K_X$ is a $(n-1)$-multiple of a Cartier divisor. Our purpose is to give a complete biregular classfication of Gorenstein toric Del Pezzo varieties in arbitrary dimension $n \geq 2$. We show that up to isomorphism there exist exactly 37 Gorenstein toric Del Pezzo varieties of dimension $n$ which are not cones over $(n-1)$-dimensional Gorenstein toric Del Pezzo varieties. Our results are closely related to the classification of all Minkowski sum decompositions of reflexive polygons due to Emiris and Tsigaridas and to the classification up to deformation of $n$-dimensional almost Del Pezzo manifolds obtained by Jahnke and Peternell.
dc.descriptionDedicated to the memory of Professor V. A Iskovskih, 34 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/0904.1880
dc.identifierhttp://arxiv.org/abs/0904.1880
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226771
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M25
dc.titleClassification of Gorenstein Toric Del Pezzo Varieties in arbitrary dimension
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