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arxiv: 1503.03831 · v2 · pith:77WTMFGEnew · submitted 2015-03-12 · 🧮 math.AG

Finite generation of the log canonical ring for 3-folds in char p

Joe Waldron This is my paper
classification 🧮 math.AG
keywords canonicalproveringabundancealgebraicallyboundarycasechar
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We prove that the log canonical ring of a klt pair of dimension $3$ with $\mathbb{Q}$-boundary over an algebraically closed field of characteristic $p>5$ is finitely generated. In the process we prove log abundance for such pairs in the case $\kappa=2$.

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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.