Approximation of sets defined by polynomials with holomorphic coefficients

• Autorzy: Marcin Bilski
• Języki publikacji: EN

Abstrakty

EN

Let X be an analytic set defined by polynomials whose coefficients $a₁,...,a_s$ are holomorphic functions. We formulate conditions on sequences ${a_{1,ν}},...,{a_{s,ν}}$ of holomorphic functions converging locally uniformly to $a₁,...,a_s$, respectively, such that the sequence ${X_{ν}}$ of sets obtained by replacing $a_j$'s by $a_{j,ν}$'s in the polynomials converges to X.

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 105
• Numer: 2
• Strony: 199-207

Daty

wydano

2012

Twórcy

autor

Marcin Bilski

• Department of Mathematics and Computer Science, Jagiellonian University, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap105-2-7