Approximation of sets defined by polynomials with holomorphic coefficients

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dc.creatorBilski, Marcin
dc.date2007-12-18
dc.date.accessioned2026-07-07T08:50:07Z
dc.date.available2026-07-07T08:50:07Z
dc.descriptionLet X be an analytic set defined by polynomials whose coefficients a_1,...,a_s are holomorphic functions. We formulate conditions such that for all sequences {a_(1,n)},...,{a_(s,n)} of holomorphic functions converging locally uniformly to a_1,...,a_s respectively the following holds true. If a_(1,n),...,a_(s,n) satisfy the conditions then the sequence of the sets {X_n} obtained by replacing a_j by a_(j,n) in the polynomials, converge to X.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0712.3029
dc.identifierhttp://arxiv.org/abs/0712.3029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144504
dc.subjectComplex Variables
dc.subject32C25
dc.titleApproximation of sets defined by polynomials with holomorphic coefficients
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