| Naslov: | The universal family of punctured Riemann surfaces is Stein |
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| Avtorji: | ID Forstnerič, Franc (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (329,06 KB)
MD5: 9AEF4EC70E89B2E05A6C7F34BBA7BDF5
 URL - Izvorni URL, za dostop obiščite https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.70383
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | We show that the universal Teichmüller family $V(g, n)$ of compact Riemann surfaces of genus $g \ge 0$ with $n > 0$ punctures is a Stein manifold. We describe its basic function-theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family is dense in the space of holomorphic functions, and that there is a fibrewise algebraic map of the universal family to a Euclidean space which restricts to a proper embedding on any fibre. We also obtain a relative Oka principle for holomorphic fibrewise algebraic maps of the universal family to any flexible algebraic manifold. |
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| Ključne besede: | Riemann surfaces, Teichmüller space, universal family, Steinova manifold, Oka manifold |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.05.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | 16 str. |
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| Številčenje: | Vol. 58, iss. 5, article no. e70383 |
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| PID: | 20.500.12556/DiRROS-29489  |
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| UDK: | 517.5 |
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| ISSN pri članku: | 0024-6093 |
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| DOI: | 10.1112/blms.70383 |
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| COBISS.SI-ID: | 278869507 |
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| Opomba: |
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| Datum objave v DiRROS: | 21.05.2026 |
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| Število ogledov: | 39 |
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| Število prenosov: | 19 |
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| Metapodatki: |    |
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