A numerical characterization of nef adelic divisors
Algebraic Geometry
2016-01-21 v3
Abstract
To a generically big adelic divisor, we can associate an arithmetic Okounkov body, which is a pair of the geometric Okounkov body and the concave transform of the Green functions. In this paper, we show that the infimum of the concave transform is given by the absolute minimum provided that the divisor is vertically nef. This is a partial generalization of results of Moriwaki (in the curve case) and of Burgos Gil-Moriwaki-Philippon-Sombra (in the toric case).
Cite
@article{arxiv.1402.6435,
title = {A numerical characterization of nef adelic divisors},
author = {Hideaki Ikoma},
journal= {arXiv preprint arXiv:1402.6435},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in page 20