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] $, $X=(X_1,...,X_n)$, over an algebraically closed field of characte…