Log canonical algebras and modules

Caucher BIRKAR
2013 Journal of the Mathematical Society of Japan  
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 iff its log canonical algebra and modules are finitely generated.
doi:10.2969/jmsj/06541319 fatcat:ltzijqn46jd3foa4uhxjiltxri