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Acta Mathematica Vietnamica

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

Mai The Tan , icon-email Kieu Phuong Chi

Abstract

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.