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arxiv: 1801.03192 · v3 · pith:TCE4MF3Unew · submitted 2018-01-09 · 🧮 math.AG

Nonvanishing for threefolds in characteristic p>5

Chenyang Xu , Lei Zhang This is my paper
classification 🧮 math.AG
keywords characteristicnonvanishingthreefoldsalgebraicallyclosedfieldprovetheorem
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We prove the Nonvanishing Theorem for threefolds over an algebraically closed field $k$ of characteristic $p >5$.

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  1. Abundance for threefolds in positive characteristic when $\nu=2$

    math.AG 2023-07 unverdicted novelty 6.0

    Proves abundance for lc threefold pairs with ν(K_X + B) = 2 over perfect fields of char p > 3: nef implies semiample.