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<p>We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13324_2025_1015_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {C}^{2n}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msup> </math></EquationSource> </InlineEquation> with parameters in a Stein space. Moreover, we provide an example of an unavoidable set for symplectic holomorphic maps.</p>

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Parametric symplectic jet interpolation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月27日

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  • Rafael B. Andrist,
  • Gaofeng Huang,
  • Frank Kutzschebauch,
  • Josua Schott

摘要

We prove a parametric jet interpolation theorem for symplectic holomorphic automorphisms of \(\mathbb {C}^{2n}\) C 2 n with parameters in a Stein space. Moreover, we provide an example of an unavoidable set for symplectic holomorphic maps.