Adjoint linear systems on normal log surfaces

被引：9

作者：

Langer, A ^{[1
]}

机构：

[1] Inst Matemat UW, PL-02097 Warsaw, Poland

来源：

COMPOSITIO MATHEMATICA | 2001年 / 129卷 / 01期

关键词：

linear system; normal surface; reflexive sheaf;

D O I：

10.1023/A:1013137101524

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Reider type theorem for separating any cluster by an adjoint system to a pseudoeffective divisor on a normal surface. As a corollary we get a Reider type theorem for adjoint linear systems (to a nef Q-divisor) on normal log surfaces. This theorem is new even for smooth surfaces.

引用

页码：47 / 66

页数：20

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