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<p>We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold <i>M</i> into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of <i>M</i> into a complex projective space in Nevanlinna theory. </p>

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Propagation of algebraic dependence and its applications

  • 期刊论文

  • 发表日期：

    2025年6月4日

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  • M. Liu,
  • X. Dong

摘要

We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold M into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of M into a complex projective space in Nevanlinna theory.