On classification of polarized varieties with non-integral nef values

摘要

Let M be an n-dimensional normal projective variety with only Gorenstein, terminal, Q-factorial singularities. Let L be an ample line bundle on M. Let tau denote the nef value of (M, L). The classification of (M, L) via the nef value morphism is given for the situations when tau satisfies n - 3 < < n - 2 or n - 4 < tau < n - 3. [References: 9]