Abstract
We continue our study of the relation between log minimal models and various types of Zariski decompositions. Let be a projective log canonical pair. We will show that has a log minimal model if either birationally has a Nakayama–Zariski decomposition with nef positive part, or if is big and birationally has a Fujita–Zariski or Cutkosky–Kawamata–Moriwaki–Zariski decomposition. Along the way we introduce polarized pairs , where is a usual projective pair and where is nef, and we study the birational geometry of such pairs.
Citation
Caucher Birkar. Zhengyu Hu. "Polarized pairs, log minimal models, and Zariski decompositions." Nagoya Math. J. 215 203 - 224, September 2014. https://doi.org/10.1215/00277630-2781096
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