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A criterion of openness of a family of nef line bundles

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Abstract

Letf:X→S be a projective morphism of noetherian schemes andL a line bundle onX. In this note we will give a condition for openness of the setS nef L ={∈S‖L s is nef onX s }.

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This article was processed by the author using the Springer-Verlag TEX mamath macro package 1990

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Moriwaki, A. A criterion of openness of a family of nef line bundles. Manuscripta Math 75, 327–331 (1992). https://doi.org/10.1007/BF02567088

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