具有非整数nef值的高维射影簇的结构

Structures of higher dimensional projective varieties with non-integral nef-values

设M是仅有Gorenstein有理可分奇点的n维正规射影簇,L是M上的丰富线丛,"是(M,L)的nef值.当n-7<"<n-6时,证明了dimM≤14,并且对dimM=12,13和14的情形,给出了(M,L)的完整结构刻画.

Let M be an n dimensional normal projective variety with Gorenstein terminal Q-factorial singularities. Let L be an ample line bundle on M, and τbe the nef-value of （M,L）. Assume that n -7 〈 τ 〈 n - 6, then dimM≤ 14. Moreover, the structures of （M,L） are characterized for n = 12,13,and 14.