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<p>This work investigates normal families of holomorphic mappings in several complex variables into complex projective space, where the moving hypersurface targets may vary with each mapping in the family. Our study emphasizes three key aspects: (1) limiting the number of moving hypersurface targets under consideration; (2) allowing intersections between the mappings and the moving hypersurfaces, but instead of imposing the usual condition of sufficiently large multiplicities, controlling these intersections through alternative methods; and (3) proposing a dual criterion that simultaneously ensures both the normality of the target family and the general position of its limits.</p>

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Normal Families of Holomorphic Mappings of Several Complex Variables into Complex Projective Space with Moving Hypersurface Targets

  • 期刊论文

  • 发表日期：

    2026年5月11日

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  • Vu Van Truong,
  • Luu Cong Dong,
  • Tran Van Tan

摘要

This work investigates normal families of holomorphic mappings in several complex variables into complex projective space, where the moving hypersurface targets may vary with each mapping in the family. Our study emphasizes three key aspects: (1) limiting the number of moving hypersurface targets under consideration; (2) allowing intersections between the mappings and the moving hypersurfaces, but instead of imposing the usual condition of sufficiently large multiplicities, controlling these intersections through alternative methods; and (3) proposing a dual criterion that simultaneously ensures both the normality of the target family and the general position of its limits.