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Adjoint Linear Systems on Normal Log Surfaces

Published online by Cambridge University Press:  04 December 2007

Adrian Langer
Adrian Langer
Affiliation:
Instytut Matematyki UW, ul. Banacha 2, 02–097 Warsaw, Poland. E-mail: alan@mimuw.edu.pl
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Abstract

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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 $\Bbb Q$-divisor) on normal log surfaces. This theorem is new even for smooth surfaces.

Keywords

linear systemnormal surfacereflexive sheaf
Type
Research Article
Information
Compositio Mathematica , Volume 129 , Issue 1 , October 2001 , pp. 47 - 66
Copyright
© 2001 Kluwer Academic Publishers