We discuss the log minimal model theory for log surfaces. We show that the log minimal model program, the finite generation of log canonical rings, and the log abundance theorem for log surfaces hold true under assumptions weaker than the usual framework of the log minimal model theory.
Cite this article
Osamu Fujino, Minimal Model Theory for Log Surfaces. Publ. Res. Inst. Math. Sci. 48 (2012), no. 2, pp. 339–371DOI 10.2977/PRIMS/71