On the Classification of Toric Fano 4-folds

Mathematics – Algebraic Geometry

Scientific paper

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46 pages, AMS-LaTeX

Scientific paper

In this paper we explain the complete biregular classification of all
4-dimensional smooth toric Fano varieties. The main result states that there
exist exactly 123 different types of toric Fano 4-folds up to isomorphism.

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