CLASSIFICATION OF EINSTEIN-KÄHLER TORIC FANO FOURFOLDS

Abstract

Earlier the author gave the classification of Einstein-Kähler toric Fano fourfolds except in one case. In the present paper, we prove the existence of Einstein-Kahler metrics on some family of Fano manifolds including the remaining toric Fano fourfold. In particular, we completely classify the Einstein-Kähler toric Fano fourfolds.