On Nonvanishing for uniruled log canonical pairs

preprint2021arXivOpen access

Abstract

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

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