Minimal model theory for relatively trivial log canonical pairs

@article{Hashizume2016MinimalMT,
  title={Minimal model theory for relatively trivial log canonical pairs},
  author={Kenta Hashizume},
  journal={arXiv: Algebraic Geometry},
  year={2016}
}
  • K. Hashizume
  • Published 18 July 2016
  • Mathematics
  • arXiv: Algebraic Geometry
We study relative log canonical pairs with relatively trivial log canonical divisors. We fix such a pair $(X,\Delta)/Z$ and establish the minimal model theory for the pair $(X,\Delta)$ assuming the minimal model theory for all Kawamata log terminal pairs whose dimension is not greater than ${\rm dim}\,Z$. We also show the finite generation of log canonical rings for log canonical pairs of dimension five which are not of log general type. 
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