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arxiv: 1706.04845 · v3 · pith:4HF7UXUOnew · submitted 2017-06-15 · 🧮 math.AG

Relative semi-ampleness in positive characteristic

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keywords characteristicsemi-amplenesspositiverelativefailsfibrefibrewisegiven
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Given an invertible sheaf on a fibre space between projective varieties of positive characteristic, we show that fibrewise semi-ampleness implies relative semi-ampleness. The same statement fails in characteristic zero.

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