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arxiv: 1510.06921 · v2 · pith:H333KZBDnew · submitted 2015-10-23 · 🧮 math.AG · math.NT

Extension property of semipositive invertible sheaves over a non-archimedean field

classification 🧮 math.AG math.NT
keywords extensionfieldinvertiblenon-archimedeanpropertysheavesadelicallyample
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In this article, we prove an extension property of semipositively metrized ample invertible sheaves on a projective scheme over a complete non-archimedean valued field. As an application, we establish a Nakai-Moishezon type criterion for adelically normed graded linear series.

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