AI 中文总结
该研究构造了一类全纯淹没映射的具体例子，其纤维同构于复平面单位圆盘但非全纯局部平凡，补充了复几何中全纯淹没映射的相关实例。
AI 中文摘要
我们给出全纯淹没映射π: Y→X的显式例子，其中Y与X为复流形，π的所有纤维均同构于复平面上的单位圆盘，但映射π不是全纯局部平凡的。
英文摘要
We give explicit examples of holomorphic submersions $p\colon Y\to X$ such that $Y$ and $X$ are complex manifolds, all the fibers of $p$ are biholomorphic to the unit disc in the complex plane, but the mapping $p$ is not holomorphically locally trivial. In our examples the complex manifolds $Y$ are neighborhoods of the zero section of a line bundle $L$ on $X$; the line bundle $L$ is not, in general, supposed to be positive or negative.
Comments14 pages, no figures
