%0 Journal Article
%T A remark on separate holomorphy
%A Marek Jarnicki
%A Peter Pflug
%J Mathematics
%D 2005
%I arXiv
%X Let $X$ 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 $\{f|_{X_a}: f\in\mathcal F\}$.
%U http://arxiv.org/abs/math/0507305v1