K-稳定性与Fujita逼近
K-stability and Fujita approximation
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.
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