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arXiv · 1201.6124

Numerical characterization of nef arithmetic divisors on arithmetic surfaces

Atsushi Moriwaki
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Abstract

In this paper, we give a numerical characterization of nef arithmetic R-Cartier divisors of C^0-type on an arithmetic surface. Namely an arithmetic R-Cartier divisor D of C^0-type is nef if and only if D is pseudo-effective and deg(D^2) = vol(D).

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Atsushi Moriwaki. 2012-06-26. Numerical characterization of nef arithmetic divisors on arithmetic surfaces. https://arxiv.org/abs/1201.6124

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