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Higher dimensional polarized varieties with non-integral nefvalue. (English) Zbl 1053.14061
Let $$X$$ be an $$n$$-dimensional projective variety with terminal, Gorenstein, $$\mathbb{Q}$$-factorial singularities, and let $$L$$ be an ample line bundle on $$X$$. If $$K_{X}$$ is not nef, then by the Kawamata rationality theorem $$\tau(L)=\text{min}\{ t\in R\;| \;\text{}K_{X}+tL$$ is nef

MSC:
 14N30 Adjunction problems 14C20 Divisors, linear systems, invertible sheaves 14J10 Families, moduli, classification: algebraic theory
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References:
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