2 citations · 4 across the 9 of their papers we have counts for
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Effective approximation of the solutions of algebraic equations
Marcin Bilski, Peter Scheiblechner
Let F be a holomorphic map whose components satisfy some polynomial relations. We present an algorithm for constructing Nash maps locally approximating F, whose components satisfy…
Higher order approximation of analytic sets by topologically equivalent algebraic sets
Marcin Bilski, Krzysztof Kurdyka, Adam Parusinski +1
It is known that every germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that the homeomorphism can be chosen in such a way that the an…
On Nash approximation of complex analytic sets in Runge domains
Janusz Adamus, Marcin Bilski
We prove that every complex analytic set X in a Runge domain D can be approximated by Nash sets on relatively compact subdomains of D. We give a necessary and sufficient condition…
Approximation of holomorphic maps from Runge domains to affine algebraic varieties
Marcin Bilski, Adam Parusinski
We present a geometric proof of the theorem saying that holomorphic maps from Runge domains to affine algebraic varieties admit approximation by Nash maps. Next we generalize this…
Approximation of analytic sets with proper projection by algebraic sets
Marcin Bilski
Let be an analytic subset of of pure dimension such that the projection of onto is a proper mapping, where is a Runge domain in . We show tha…
Local approximation of the solutions of algebraic equations
Marcin Bilski
A method of local approximation of holomorphic solutions of algebraic equations is discussed