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

Duc Thoan Pham

Duc Thoan Pham Nat. Univ. Civil Engineering, Hanoi, Vietnam

Keywords: Tautness modulo an analytic hypersurface, Hartogs type domains, Hartogs-Laurent type domains

Abstract

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.

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