A note on the meromorphic \({\mathcal O}(X)\)-convexity
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| Title: | A note on the meromorphic \({\mathcal O}(X)\)-convexity |
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| Authors: | Abe, Makoto |
| Publisher Information: | Kumamoto University, Faculty of Science, Department of Mathematics, Kumamoto |
| Subject Terms: | Approximation by rational functions, rationally convex set, Stein space, Stein spaces, Other notions of convexity in relation to several complex variables, meromorphically \(O(X)\)-convex set |
| Description: | The author obtains the following results: 1) necessary and sufficient conditions when an open set \(D\) of a reduced Stein space is meromorphically \(O(X)\)-convex (Theorem 4.1); 2) necessary and sufficient conditions when an open set \(D\) in \(\mathbb C^n\) is rationally convex (Theorem 4.2 and 4.3). |
| Document Type: | Article |
| File Description: | application/xml |
| Access URL: | https://zbmath.org/2220930 |
| Accession Number: | edsair.c2b0b933574d..e4fd7f9e77c220944071ecc2cfd41f57 |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | The author obtains the following results: 1) necessary and sufficient conditions when an open set \(D\) of a reduced Stein space is meromorphically \(O(X)\)-convex (Theorem 4.1); 2) necessary and sufficient conditions when an open set \(D\) in \(\mathbb C^n\) is rationally convex (Theorem 4.2 and 4.3). |
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