Monge-Ampère穷举和Kobayashi距离的模数据和规律性
Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance
摘要：
用模数据解释了一类Stein流形的内禀对象的正则性，即Monge-Ampère穷举和Kobayashi距离。结果导致建设一个无限维家庭的凸区域平方小林距离规定的正则性。对$\mathbb C^n$的Stoll特征也给出了一个新的精确的改进.
英文摘要：
Regularity properties of intrinsic objects for a large class of Stein Manifolds, namely of Monge-Ampère exhaustions and Kobayashi distance, is interpreted in terms of modular data. The results lead to a construction of an infinite dimensional family of convex domains with squared Kobayashi distance of prescribed regularity properties. A new sharp refinement of Stoll's characterization of $\mathbb C^n$ is also given.
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。
