We prove that the non-vanishing conjecture and the log minimal model conjecture for projective log canonical pairs can be reduced to the non-vanishing conjecture for smooth projective varieties such that the boundary divisor is zero.
Cite this article
Kenta Hashizume, On the Non-vanishing Conjecture and Existence of Log Minimal Models. Publ. Res. Inst. Math. Sci. 54 (2018), no. 1, pp. 89–104DOI 10.4171/PRIMS/54-1-3