An interpolation property of locally Stein sets

• Autores: Viorel Vâjâitu Vâjâitu
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 63, Nº 2, 2019, págs. 715-725
• Idioma: inglés
• DOI: 10.5565/PUBLMAT6321909
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• 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.