On the Decomposition of Kähler Manifolds With Trivial Canonical Class

In this paper it is proved that simply-connected Kahler manifolds with K = 0 may be decomposed into a product Mn = As×K3m1×...×K3mk, where h2, 0(As) = 0, h2, 0(K3mi) = 1 and the form ωi(2, 0) has maximal rank. Also the manifolds with l (K) > 1, of unirational type K = 0, are described. They may be presented as Lk/G, where K(Lk) = 0 and G is a finite group of birational automorphisms of Lk. Bibliography: 5 items.