A remark on separate holomorphy

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dc.creatorJarnicki, Marek
dc.creatorPflug, Peter
dc.date2005-07-15
dc.date.accessioned2026-07-07T08:41:07Z
dc.date.available2026-07-07T08:41:07Z
dc.descriptionLet $X$ be a Riemann domain over $\mathbb C^k\times\mathbb C^\ell$. If $X$ is domain of holomorphy with respect to a family $\mathcal F\subset\mathcal O(X)$, then there exists a pluripolar set $P\subset\mathcal C^k$ such that every slice $X_a$ of $X$ with $a\notin P$ is a domain of holomorphy with respect to the family $\{f|_{X_a}: f\in\mathcal F\}$.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0507305
dc.identifierhttp://arxiv.org/abs/math/0507305
dc.identifierStudia Math. 174 (2006), 309-317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141584
dc.subjectComplex Variables
dc.subject32D05; 32D25
dc.titleA remark on separate holomorphy
dc.typetext

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