Nakai--Moishezon ampleness criterion for real line bundles

2021/01/04 by Osamu Fujino, Fujino, Osamu, Keisuke Miyamoto +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2101.00806

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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• A derived category analogue of the Nakai--Moishezon criterion

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