On the abundance problem for 3-folds in characteristic $$p>5$$p>5
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DOI: 10.1007/s00209-018-2110-5
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… read more here.
Keywords: folds characteristic; delta; abundance problem; problem folds ... See more keywords
FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON $3$-FOLDS IN CHARACTERISTIC $p>5$
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DOI: 10.1017/nmj.2018.28
Abstract: In this article, we prove a finiteness result on the number of log minimal models for 3-folds in $\operatorname{char}p>5$. We then use this result to prove a version of Batyrev’s conjecture on the structure of… read more here.
Keywords: minimal models; log minimal; finiteness; curves folds ... See more keywords
Nonvanishing for 3-folds in characteristic p>5
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DOI: 10.1215/00127094-2018-0066
Abstract: We prove the Nonvanishing Theorem for threefolds over an algebraically closed field $k$ of characteristic $p >5$. read more here.
Keywords: folds characteristic; nonvanishing folds;