Numerical characterization of nef arithmetic divisors on arithmetic surfaces
Algebraic Geometry
2012-06-27 v4
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).
Cite
@article{arxiv.1201.6124,
title = {Numerical characterization of nef arithmetic divisors on arithmetic surfaces},
author = {Atsushi Moriwaki},
journal= {arXiv preprint arXiv:1201.6124},
year = {2012}
}
Comments
26 pages, Rewrite Section 3