论文标题
OKA流形的最新发展
Recent developments on Oka manifolds
论文作者
论文摘要
在本文中，我们介绍了OKA理论的主要发展，因为我的书出版了Stein歧管和全态映射（复杂分析中的同质原理）}，第二版，Springer，2017年。我们还提供了欧几里得和投射空间中OKA领域的几个新结果，实例和构造。此外，我们表明，对于$ n> 1 $，纤维$ \ mathbb c^n $在斯坦家族中可以退化为非OKA纤维，从而回答了Takeo Ohsawa的问题。讨论了几个开放问题。
In this paper we present the main developments in Oka theory since the publication of my book Stein Manifolds and Holomorphic Mappings (The Homotopy Principle in Complex Analysis)}, Second Edition, Springer, 2017. We also give several new results, examples and constructions of Oka domains in Euclidean and projective spaces. Furthermore, we show that for $n>1$ the fibre $\mathbb C^n$ in a Stein family can degenerate to a non-Oka fibre, thereby answering a question of Takeo Ohsawa. Several open problems are discussed.
