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On the semiampleness of the positive part of CKM Zariski decompositions

Published online by Cambridge University Press:  19 September 2013

SALVATORE CACCIOLA
SALVATORE CACCIOLA*
Affiliation:
Dipartimento di Matematica e Fisica, Università di Roma Tre, Largo San Leonardo Murialdo 1, 00146, Rome, Italy. e-mail: cacciola@mat.uniroma3.it
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Abstract

We study graded rings associated to big divisors on LC pairs whose difference with the log-canonical divisor is nef. For divisors that are positive enough at the LC centers of the pair, we prove the finite generation of such rings if the pair is DLT or the dimension is low, given that a Zariski decomposition exists.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 156 , Issue 1 , January 2014 , pp. 1 - 23
Copyright
Copyright © Cambridge Philosophical Society 2013 

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