On log canonical rings

2013/02/21 by Fujino, Osamu, Gongyo, Yoshinori
#14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1302.5194

Abstract

We discuss the relationship among various conjectures in the minimal model theory including the finite generation conjecture of the log canonical rings and the abundance conjecture. In particular, we show that the finite generation conjecture of the log canonical rings for log canonical pairs can be reduced to that of the log canonical rings for purely log terminal pairs of log general type.

Related

• Minimal model theory for relatively trivial log canonical pairs
• Minimal model theory for log surfaces
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• Minimal models, flips and finite generation : a tribute to V.V. SHOKUROV and Y.-T. SIU
• Remarks on the minimal model theory for log surfaces in the analytic setting