In this paper, we prove the cone theorem and the contraction theorem for pairs , where is a normal variety and is an effective -divisor on such that is -Cartier.
Cite this article
Osamu Fujino, Fundamental Theorems for the Log Minimal Model Program. Publ. Res. Inst. Math. Sci. 47 (2011), no. 3, pp. 727–789DOI 10.2977/PRIMS/50