Positive degree and arithmetic bigness

Simple item page
dc.creatorChen, Huayi
dc.date2008-03-18
dc.date2008-05-04
dc.date.accessioned2026-07-07T12:17:44Z
dc.date.available2026-07-07T12:17:44Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0803.2583
dc.identifierhttp://arxiv.org/abs/0803.2583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212174
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titlePositive degree and arithmetic bigness
dc.typetext

Files

Collections

arXiv