On Nonvanishing for uniruled log canonical pairs

Abstract

We prove the Nonvanishing conjecture for uniruled projective log canonical pairs of dimension $n$, assuming the Nonvanishing conjecture for smooth projective varieties in dimension $n-1$. We also show that the existence of good minimal models for non-uniruled projective klt pairs in dimension $n$ implies the existence of good minimal models for projective log canonical pairs in dimension $n$.

v2: this paper supersedes arXiv:1906.11451; minor changes; to appear in Electron. Res. Arch