On effective non-vanishing and base-point-freeness

Yujiro Kawamata

On effective non-vanishing and base-point-freeness

Algebraic Geometry 2007-05-23 v2

Authors: Yujiro Kawamata

Abstract

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.

Cite

@article{arxiv.math/0003169,
  title  = {On effective non-vanishing and base-point-freeness},
  author = {Yujiro Kawamata},
  journal= {arXiv preprint arXiv:math/0003169},
  year   = {2007}
}

Comments

13 pages, Theorem 5.2 (3) is deleted

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