Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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EXTENDING HOLOMORPHIC MAPS THROUGH PLURI-POLAR SETS IN HIGH DIMENSION

DO DUC THAI

pp. 313-320

Abstract

In this paper we prove that if a complex space $X$ has the strictly holomorphic 1-extension property through polar sets, then $X$ also has the strictly holomorphic n-extension property through pluri-polar sets for all $n\geq 2$. Moreover, some results of Suzuki and Järvi are deduced from the above-mentioned theorem.