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arXiv · 1706.04845

Relative semi-ampleness in positive characteristic

Paolo Cascini·Hiromu Tanaka
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Abstract

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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Paolo Cascini, Hiromu Tanaka. 2017-06-15. Relative semi-ampleness in positive characteristic. https://doi.org/10.1112/plms.12323

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