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On the abundance problem for 3-folds in characteristic $$p>5$$p>5

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In this article we prove two cases of the abundance conjecture for 3-folds in characteristic $$p>5$$p>5: (i) $$(X, \Delta )$$(X,Δ) is klt and $$\kappa (X, K_X+\Delta )=1$$κ(X,KX+Δ)=1, and (ii) $$(X,… Click to show full abstract

In this article we prove two cases of the abundance conjecture for 3-folds in characteristic $$p>5$$p>5: (i) $$(X, \Delta )$$(X,Δ) is klt and $$\kappa (X, K_X+\Delta )=1$$κ(X,KX+Δ)=1, and (ii) $$(X, \Delta )$$(X,Δ) is klt, $$K_X+\Delta \equiv 0$$KX+Δ≡0 and X is not uniruled.

Keywords: folds characteristic; delta; abundance problem; problem folds

Journal Title: Mathematische Zeitschrift
Year Published: 2018

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