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Página principal > Artículos > Artículos publicados > An interpolation property of locally Stein sets |
Fecha: | 2019 |
Resumen: | We prove that, if D is a normal open subset of a Stein space X of puredimension such that D is locally Stein at every point of ∂D n Xsg, then, for every holomorphic vector bundle E over D and every discrete subset Ʌ of D \ Xsg whose set of accumulation points lies in ∂D \ Xsg, there is a holomorphic section of E over D with prescribed values on Ʌ. We apply this to the local Steinness problem and domains of holomorphy. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Stein space ; Domain of holomorphy ; ∂-problem |
Publicado en: | Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 715-725 (Articles) , ISSN 2014-4350 |
11 p, 341.4 KB |