arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2102.09457math.AGmath.DG
收藏

K-稳定性与Fujita逼近

K-stability and Fujita approximation

Chi Li

摘要:

本文导出了大模型的非阿基米德Monge-Ampère测度公式。作为应用,我们得到了非阿基米德Mabuchi泛函的一个正交公式,并进一步将极化流形上的一致Yau-Tian-Donaldson猜想归结为一个关于存在满足某种渐近消失条件的近似Zabuki分解的猜想.

英文摘要:

We derive a formula for non-Archimedean Monge-Ampère measures of big models. As applications, we derive a positive intersection formula for non-Archimedean Mabuchi functional, and further reduce the uniform Yau-Tian-Donaldson conjecture for polarized manifolds to a conjecture about the existence of approximate Zariski decompositions that satisfy some asymptotic vanishing condition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑