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<p>In this paper, motivated by recent GCD estimates given by Ru and Wang, we obtain several uniqueness theorems for holomorphic maps from <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">C</mi> </math></EquationSource> </InlineEquation> into <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathbb {P}^n(\mathbb {C})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mrow> <mi mathvariant="double-struck">P</mi> </mrow> <mi>n</mi> </msup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="double-struck">C</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> sharing few moving hyperplanes and hypersurfaces without counting multiplicities, which are generalizations of the classical results of Nevanlinna and Fujimoto.</p>

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Unicity of Holomorphic Maps into \(\mathbb {P}^n(\mathbb {C})\) with Moving Targets through the GCD Method

  • 期刊论文

  • 发表日期：

    2026年5月11日

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  • Qiming Yan,
  • Guangsheng Yu,
  • Kai Zhou

摘要

In this paper, motivated by recent GCD estimates given by Ru and Wang, we obtain several uniqueness theorems for holomorphic maps from \(\mathbb {C}\) C into \(\mathbb {P}^n(\mathbb {C})\) P n ( C ) sharing few moving hyperplanes and hypersurfaces without counting multiplicities, which are generalizations of the classical results of Nevanlinna and Fujimoto.