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math.CV2011
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…
math.AC2011
The Abhyankar-Jung Theorem
Adam Parusinski, Guillaume Rond
We show that every quasi-ordinary Weierstrass polynomial $P(Z) = Z^d+a_1 (X) Z^{d-1}+...+a_d(X) \in \K[[X]][Z] $, , over an algebraically closed field of characte…