论文标题
部分可观测时空混沌系统的无模型预测
Peak sections and Bergman kernels on Kähler manifolds with complex hyperbolic cusps
论文作者
论文摘要
通过重新访问天的峰值部分方法，我们获得了伯格曼核在kähler歧管上具有复杂双曲线尖齿的本地化原理，这是对auvray-ma-marinescu的本地化的概括，结果伯格曼核在刺穿的riemann riemann表面上的伯格曼内核[auvray-ma-ma-marinecu [auvray-ma-marinecu，数学。 Ann。，2021]。然后，当复杂双曲线尖端上的度量是Kähler-Einstein公制时，或者当歧管是复杂球的商时，我们给出了一些进一步的估计。通过将我们的方法直接应用于庞加莱型尖端，我们还获得了部分定位结果。
By revisiting Tian's peak section method, we obtain a localization principle of the Bergman kernels on Kähler manifolds with complex hyperbolic cusps, which is a generalization of Auvray-Ma-Marinescu's localization result Bergman kernels on punctured Riemann surfaces [Auvray-Ma-Marinescu, Math. Ann., 2021]. Then we give some further estimates when the metric on the complex hyperbolic cusp is a Kähler-Einstein metric or when the manifold is a quotient of the complex ball. By applying our method directly to Poincaré type cusps, we also get a partial localization result.
