Positive degree and arithmetic bigness
Algebraic Geometry
2008-12-18 v3 Number Theory
Abstract
We establish, for a generically big Hermitian line bundle, the convergence of truncated Harder-Narasimhan polygons and the uniform continuity of the limit. As applications, we prove a conjecture of Moriwaki asserting that the arithmetic volume function is actually a limit instead of a sup-limit, and we show how to compute the asymptotic polygon of a Hermitian line bundle, by using the arithmetic volume function.
Cite
@article{arxiv.0803.2583,
title = {Positive degree and arithmetic bigness},
author = {Huayi Chen},
journal= {arXiv preprint arXiv:0803.2583},
year = {2008}
}