Let M be a complete and connected Kähler manifold whose universal covering is biholomorphic to a ball in \({\mathbb {C}}^m\). In this article, we investigate algebraic dependence of three meromorphic mappings from M into \({\mathbf {P}}^n({\mathbb {C}})\) sharing hyperplanes in subgeneral position. In addition, we study linear degenerates of the map \(f^1\times f^2 \times f^3\) where \(f_1, f_2\) and \(f_3\) are meromorphic mappings of M into \({\mathbf {P}}^n(\mathbb C)\ (n \geqslant 5)\) sharing hyperplanes in subgeneral position with truncated multiplicity.

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关于从完备Kähler流形到投影空间的三个亚纯映射的简并性

令M为一个完整且连通的Kähler流形，其通用覆盖是\（{\ mathbb {C}} ^ m \）中的球的全全形。在本文中，我们研究了三个亚纯映射从M到在一般位置上共享超平面的\（{\ mathbf {P}} ^ n（{\ mathbb {C}}）\）的代数依赖性。此外，我们研究了映射\（f ^ 1 \ times f ^ 2 \ times f ^ 3 \）的线性退化，其中\（f_1，f_2 \）和\（f_3 \）是M到\（{ \ mathbf {P}} ^ n（\ mathbb C）\（n \ geqslant 5）\）在次要位置共享超平面，且截短的多重性。