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<p>In this note, we consider the local polynomial convexity of the union of totally real graphs in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\mathbb {C}^3\)</EquationSource> </InlineEquation> having the same tangent spaces at the origin. We also construct examples showing that our results are quite sharp in some sense.</p>

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Local Polynomial Convexity of the Union of two Tangential Totally Real Graphs in \(\mathbb {C}^3\)

  • 期刊论文

  • 发表日期：

    2025年8月4日

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  • Mai The Tan,
  • Kieu Phuong Chi

摘要

In this note, we consider the local polynomial convexity of the union of totally real graphs in \(\mathbb {C}^3\) having the same tangent spaces at the origin. We also construct examples showing that our results are quite sharp in some sense.