| Title: | Approximation of biholomorphic maps between Runge domains by holomorphic automorphisms |
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| Authors: | ID Forstnerič, Franc (Author) |
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| Files: |  PDF - Presentation file, download (196,94 KB)
MD5: E0ACB580977BDE3915FF61487EEA313E
 URL - Source URL, visit https://link.springer.com/article/10.1007/s40627-025-00163-3
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | We show that biholomorphic maps between certain pairs of Runge domains in the complex affine space ${\mathbb C}^n$, $n > 1$, are limits of holomorphic automorphisms of ${\mathbb C}^n$. A similar result holds for volume preserving maps and also in Stein manifolds with the density property. This generalises several results in the literature with considerably simpler proofs. |
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| Keywords: | Runge domains, holomorphic automorphisms, Stein manifolds, density property |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.09.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 4 str. |
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| Numbering: | Vol. 11, iss. 3, article no. 13 |
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| PID: | 20.500.12556/DiRROS-23414  |
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| UDC: | 517.5 |
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| ISSN on article: | 2197-120X |
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| DOI: | 10.1007/s40627-025-00163-3 |
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| COBISS.SI-ID: | 246516227 |
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| Note: |
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| Publication date in DiRROS: | 26.08.2025 |
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| Views: | 271 |
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| Downloads: | 156 |
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| Metadata: |    |
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