most citedLocal approximation of the solutions of algebraic equations

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math.CV2008★ 1 cited

Local approximation of the solutions of algebraic equations

Marcin Bilski

A method of local approximation of holomorphic solutions of algebraic equations is discussed

math.CV2007

Algebraic approximation of analytic sets and mappings

Marcin Bilski

Let {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 compone…

math.CV2007

Approximation of sets defined by polynomials with holomorphic coefficients

Marcin Bilski

Let 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)…