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math.AC2022★ 9 cited
On Łojasiewicz Inequalities and the Effective Putinar's Positivstellensatz
Lorenzo Baldi, Bernard Mourrain, Adam Parusinski
The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answer…
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…