Algebraic approximation of analytic sets and mappings

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dc.creatorBilski, Marcin
dc.date2007-12-19
dc.date.accessioned2026-07-07T10:12:15Z
dc.date.available2026-07-07T10:12:15Z
dc.descriptionLet {X_n} be a sequence of analytic sets converging to some analytic set X in the sense of holomorphic chains. We introduce a condition which implies that every irreducible component of X is the limit of a sequence of irreducible components of the sets from {X_n}. Next we apply the condition to approximate a holomorphic solution y=f(x) of a system Q(x,y)=0 of Nash equations by Nash solutions. Presented methods allow to construct an algorithm of approximation of the holomorphic solutions.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0712.3261
dc.identifierhttp://arxiv.org/abs/0712.3261
dc.identifierJ. Math. Pures Appl. 90 (2008) 312-327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172121
dc.subjectComplex Variables
dc.subject32C25; 32C07
dc.titleAlgebraic approximation of analytic sets and mappings
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