论文标题
多面体和半圣事的有效加权K稳定性条件
An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
论文作者
论文摘要
第二作者表明，在半圣事主曲面纤维上的极端kähler指标的存在等效于加权均匀K稳定的概念，从瞬间polytope中读出。本文的目的是证明可以有效检查加权均匀K稳定性的各种足够条件，并探索其提供的极端Kähler指标的低维新示例。
The second author has shown that existence of extremal Kähler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off from the moment polytope. The purpose of this article is to prove various sufficient conditions of weighted uniform K-stability which can be checked effectively and explore the low dimensional new examples of extremal Kähler metrics it provides.
