Abstract: | The biregular classification of smoothd-dimensional toric Fano varieties is equivalent to the classification of special simplicial polyhedraP in ℝ
d
, the so-called Fano polyhedra, up to an isomorphism of the standard lattice
. 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 somorphism.
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory Vol. 56. Algebraic
Geometry-9, 1998. |