### Electronic Research Archive

2021, Issue 5: 3297-3308. doi: 10.3934/era.2021039
Special Issues

# On Nonvanishing for uniruled log canonical pairs

• Received: 01 November 2020 Revised: 01 April 2021 Published: 26 May 2021
• Primary: 14E30

• 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 $n$.

Citation: Vladimir Lazić, Fanjun Meng. On Nonvanishing for uniruled log canonical pairs[J]. Electronic Research Archive, 2021, 29(5): 3297-3308. doi: 10.3934/era.2021039

### Related Papers:

• 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 $n$.

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