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arxiv: 1711.10706 · v2 · pith:Q5O6KQOTnew · submitted 2017-11-29 · 🧮 math.AG

Minimal model program for log canonical threefolds in positive characteristic

Kenta Hashizume , Yusuke Nakamura , Hiromu Tanaka This is my paper
classification 🧮 math.AG
keywords canonicalcharacteristicminimalmodelprogramexistsfieldfinitely
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Given a three-dimensional projective log canonical pair over a perfect field of characteristic larger than five, there exists a minimal model program that terminates after finitely many steps.

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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.