论文标题

OKA地图的椭圆表征和统一

Elliptic characterization and unification of Oka maps

论文作者

Kusakabe, Yuta

论文摘要

我们将OKA歧管的椭圆形表征概括为OKA地图。广义特征可以被视为对格罗莫夫猜想的相对版本的肯定答案。作为申请,我们统一了以前已知的OKA浸没原则;即,Gromov类型的OKA原理,用于颈部浸入和forstnerič类型OKA OKA原理,用于带有帽纤维的全体形态纤维束。我们还建立了OKA地图的本地化原则,该原则提供了OKA地图的新示例。

We generalize our elliptic characterization of Oka manifolds to Oka maps. The generalized characterization can be considered as an affirmative answer to the relative version of Gromov's conjecture. As an application, we unify previously known Oka principles for submersions; namely the Gromov type Oka principle for subelliptic submersions and the Forstnerič type Oka principle for holomorphic fiber bundles with CAP fibers. We also establish the localization principle for Oka maps which gives new examples of Oka maps.

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