Proves abundance for lc threefold pairs with ν(K_X + B) = 2 over perfect fields of char p > 3: nef implies semiample.
Existence of flips and minimal models for 3-folds in char p
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
We will prove the following results for $3$-fold pairs $(X,B)$ over an algebraically closed field $k$ of characteristic $p>5$: log flips exist for $\Q$-factorial dlt pairs $(X,B)$; log minimal models exist for projective klt pairs $(X,B)$ with pseudo-effective $K_X+B$; the log canonical ring $R(K_X+B)$ is finitely generated for projective klt pairs $(X,B)$ when $K_X+B$ is a big $\Q$-divisor; semi-ampleness holds for a nef and big $\Q$-divisor $D$ if $D-(K_X+B)$ is nef and big and $(X,B)$ is projective klt; $\Q$-factorial dlt models exist for lc pairs $(X,B)$; terminal models exist for klt pairs $(X,B)$; ACC holds for lc thresholds; etc.
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math.AG 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
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Abundance for threefolds in positive characteristic when $\nu=2$
Proves abundance for lc threefold pairs with ν(K_X + B) = 2 over perfect fields of char p > 3: nef implies semiample.