Mathematics – Algebraic Geometry
Scientific paper
2000-03-27
Mathematics
Algebraic Geometry
13 pages, Theorem 5.2 (3) is deleted
Scientific paper
Let $X$ be a complete normal variety, $B$ an effective $\mathbb{R}$-divisor
on $X$, and $D$ a Cartier divisor on $X$. Assume that the pair $(X, B)$ is log
terminal. We consider the problem whether $H^0(X, D) \ne 0$ and obtain some
results in lower dimensions.
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