Abstract
Let $(X/Z,B)$ be a lc pair with $K_X+B$ pseudo-effective$/Z$ and $Z$ affine. We show that $(X/Z,B)$ has a good log minimal model if and only if its log canonical algebra and modules are finitely generated.
Citation
Caucher BIRKAR. "Log canonical algebras and modules." J. Math. Soc. Japan 65 (4) 1319 - 1328, October, 2013. https://doi.org/10.2969/jmsj/06541319
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