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<p>The main aim of this paper is to show the second main theorems for meromorphic mappings from admissible parabolic manifolds into projective varieties intersecting arbitrary families of moving hypersurfaces with truncated counting functions, where the truncation level of the counting functions is explicitly estimated. Our results improved and generalized many previous second main theorems for meromorphic mappings on admissible parabolic manifolds with moving hypersurface targets.</p>

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Second main theorems for meromorphic mappings on parabolic manifolds intersecting arbitrary families of moving hypersurfaces

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Gerd Dethloff,
  • Do Duc Thai,
  • Si Duc Quang

摘要

The main aim of this paper is to show the second main theorems for meromorphic mappings from admissible parabolic manifolds into projective varieties intersecting arbitrary families of moving hypersurfaces with truncated counting functions, where the truncation level of the counting functions is explicitly estimated. Our results improved and generalized many previous second main theorems for meromorphic mappings on admissible parabolic manifolds with moving hypersurface targets.