Trivial generators for nontrivial fibres
Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 121-131.

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Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in $\mathbb{C}^{n}$ where the fibre is nontrivial, has to exceed $n$. This is shown not to be the case.
DOI : 10.21136/MB.2008.134053
Classification : 32A65, 32W05, 46J20
Mots-clés : holomorphic function; Banach algebra; generator 
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Carlsson, Linus. Trivial generators for nontrivial fibres. Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 121-131. doi : 10.21136/MB.2008.134053. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.134053/

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