Theoretical analysis characterizes pseudoconvexity and envelopes of holomorphy for Reinhardt subdomains in simplicial affine toric varieties, highlighting new extension pathways in complex geometry.
The purpose of the present paper is to extend the study of Reinhardt domains from Cⁿ C n to toric varieties. The main result clarifies pseudoconvexity and envelopes of holomorphy for subdomains of simplicial affine toric varieties. In conclusion, suggestions and open questions on the general case and related extension problems on toric varieties are discussed. The article is reasonably self-contained in order to make the material accessible to complex analysts.
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Hazra et al. (2026) studied this question.
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