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arxiv: 1406.6554 · v1 · pith:RN33PXAPnew · submitted 2014-06-25 · 🧮 math.AG

A note on the abundance conjecture

classification 🧮 math.AG
keywords abundanceconjecturedimensionpairsassumingdimensionsimplieslower
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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.

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