Remark on the tautness modulo an analytic hypersurface of hartogs type domains

• Datum: 2020
• 1. Verfasser: Pham, Duc Thoan
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/182
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present sufficient conditions for the tautness modulo an analytic hypersurface of Hartogs-type domains $\Omega_H(X)$ and Hartogs–Laurent-type domains $\Sigma_{u, v}(X).$ We also propose a version of Eastwood's theorem for the tautness modulo an analytic hypersurface.