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arXiv · 1607.05005

Minimal model theory for relatively trivial log canonical pairs

Kenta Hashizume
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Abstract

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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Kenta Hashizume. 2016-07-18. Minimal model theory for relatively trivial log canonical pairs. https://arxiv.org/abs/1607.05005

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