On the semiampleness of the positive part of CKM Zariski decompositions

Details On the semiampleness of the positive part of CKM Zariski decompositions On the semiampleness of the positive part of CKM Zariski decompositions

2010-11-30

arxiv.org/abs/1011.6564v3

Mathematics

Algebraic Geometry

Added section 5.1, introduction modified accordingly

Scientific paper

We investigate the semiampleness of the positive part of CKM Zariski decompositions of big divisors on LC pairs whose difference with the log canonical divisor is nef. We give some conjectures that would generalize an important theorem of Kawamata and we prove them in low dimension. Moreover we give a relative version of DLT pair and we prove a similar statement in this setting.

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