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arXiv · 2101.00806

Nakai--Moishezon ampleness criterion for real line bundles

Osamu Fujino·Keisuke Miyamoto
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Abstract

We show that the Nakai--Moishezon ampleness criterion holds for real line bundles on complete schemes. As applications, we treat the relative Nakai--Moishezon ampleness criterion for real line bundles and the Nakai--Moishezon ampleness criterion for real line bundles on complete algebraic spaces. The main ingredient of this paper is Birkar's characterization of augmented base loci of real divisors on projective schemes.

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Osamu Fujino, Keisuke Miyamoto. 2021-01-04. Nakai--Moishezon ampleness criterion for real line bundles. https://arxiv.org/abs/2101.00806

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