摘要 : We prove the birational superrigidity of direct products V = F-1 x (...) x F-K of primitive Fano varieties of the following two types: either F-i subset of P-M is a general hypersurface of degree M, M >= 6, or F-i ->(sigma) P-M is... 展开 We prove the birational superrigidity of direct products V = F-1 x (...) x F-K of primitive Fano varieties of the following two types: either F-i subset of P-M is a general hypersurface of degree M, M >= 6, or F-i ->(sigma) P-M is a general double space of index 1, M >= 3. In particular, every structure of a rationally connected fibre space on V is given by the projection onto a direct factor. The proof is based on the connectedness principle of Shokurov and Kollar and the technique of hypertangent divisors. 收起