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<p>In this paper, we give a result on finiteness of holomorphic curves with finite growth index from disc <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\Delta (R)=\left\{ z\in \mathbb {C} ~:~ |z|&lt;R\le \infty \right\} \)</EquationSource> </InlineEquation> into <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\mathbb {P}^n(\mathbb {C})\)</EquationSource> </InlineEquation> sharing hyperplanes in general position with truncated multiplicities to level <i>n</i>. Our result extend and generalized the previous results for the case of holomorphic curve from <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\mathbb {C}\)</EquationSource> </InlineEquation> on these directions.</p>

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Finiteness of holomorphic curves from a disc into \(\mathbb {P}^n(\mathbb {C})\) sharing hyperplanes with truncated multiplicities

  • 期刊论文

  • 发表日期：

    2026年1月31日

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  • Van Khien Tran,
  • Thu Thuy Hoang,
  • Thi Thuy Vu,
  • Thi Lieu Tran

摘要

In this paper, we give a result on finiteness of holomorphic curves with finite growth index from disc \(\Delta (R)=\left\{ z\in \mathbb {C} ~:~ |z|<R\le \infty \right\} \) into \(\mathbb {P}^n(\mathbb {C})\) sharing hyperplanes in general position with truncated multiplicities to level n. Our result extend and generalized the previous results for the case of holomorphic curve from \(\mathbb {C}\) on these directions.