Nef cone and successive minima: an example
Algebraic Geometry
2026-02-20 v2 Number Theory
Abstract
In this paper, we compute the nef cone and the pseudo-effective cone of for a smooth projective curve and its Jacobian variety such that has the minimal Picard number. As a consequence, we also compute the successive minima of a height function for the relative setting , and our result shows that Zhang's theorem of successive minima does not hold in this case.
Cite
@article{arxiv.2511.12509,
title = {Nef cone and successive minima: an example},
author = {Ruoyi Guo and Xinyi Yuan},
journal= {arXiv preprint arXiv:2511.12509},
year = {2026}
}