A note on the abundance conjecture

Abstract

We prove that the abundance conjecture for non-uniruled klt pairs in dimension $n$ implies the abundance conjecture for uniruled klt pairs in dimension $n$, assuming the Minimal Model Program in lower dimensions.

References in corpus (1)

• The dual complex of singularities

Cited by in corpus (7)

• On Generalised Abundance, I
• On the existence of minimal models for log canonical pairs
• Abundance for varieties with many differential forms
• On Generalised Abundance, II
• The Nonvanishing problem for varieties with nef anticanonical bundle
• Abundance for uniruled pairs which are not rationally connected
• On Nonvanishing for uniruled log canonical pairs