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@inproceedings{Batyrev1998OnTC, title={On the Classification of Toric Fano 4-folds}, author={Victor V. Batyrev}, year={1998} }

- Published 1998

The biregular classification of smooth d-dimensional toric Fano varieties of dimension d is equivalent to the classification of special simplicial polyhedra P in R, so called Fano polyhedra, up to an isomorphism of the standard lattice Z d ⊂ R. 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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