Résumé. Les fonctions quasi-homogènes, en particulier les polynômes, possèdent des propriétés particulières au voisinage de l’origine qui permettent d’estimer les exposants dits de Lojasiewicz d’une manière tout a ̀ fait analogue a ̀ ceux des fonctions homogènes. En particulier on généralise un résultat antérieur pour les polynômes à deux variables concernant l’ine ́ galite ́ du gradient de Lojasiewicz optimale a ́ l’origine. Abstract. Quasi-homogeneous functions, and especially polynomials, enjoy some specific properties around the origin which allow to estimate the so-called Lojasiewicz exponents in a way quite similar to homogeneous functions. In particular we gen-eralize a previous result for polynomials of two variables...
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficien...
Abstract. We consider the set F = {p(z)x + q(y; z); p ∈ C[z]r {0}; q ∈ C[y; z]}. We connect algebrai...
The classical Lojasiewicz inequality and its extensions for partial differential equation problems (...
Quasi-homogeneous functions, and especially polynomials, enjoy some specific properties around the o...
International audienceQuasi-homogeneous functions, and especially polynomials, enjoy some specific p...
Résumé. Soit K le corps des réels ou des complexes et f: Kn → K un polynôme quasi-homogène de p...
Bachelor thesis pursue the Łojasiewicz inequality. The Łojasiewicz inequality is proved here for gen...
We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEur...
Lojasiewicz’s inequalities were born to solve a problem in analysis (see [ L] and [Ma]) and, as deep...
Let be the real or the complex field, and let f : ⁿ → be a quasi-homogeneous polynomial with weigh...
Let f: (Cn,0) → (C,0) be a semiquasihomogeneous function. We give a formula for the local Łojasiewic...
AbstractWe give an expression for the Łojasiewicz exponent of a set of ideals which are pieces of a ...
This text has two parts; the first is the essentially unmodified text of the 1973-74 seminar of M. L...
En este trabajo estudiamos las pruebas de la desigualdad de Lojasiewicz desde la geometría algebraic...
. An estimation of the exponent of separation at infinity of algebraic sets is given. As a corollary...
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficien...
Abstract. We consider the set F = {p(z)x + q(y; z); p ∈ C[z]r {0}; q ∈ C[y; z]}. We connect algebrai...
The classical Lojasiewicz inequality and its extensions for partial differential equation problems (...
Quasi-homogeneous functions, and especially polynomials, enjoy some specific properties around the o...
International audienceQuasi-homogeneous functions, and especially polynomials, enjoy some specific p...
Résumé. Soit K le corps des réels ou des complexes et f: Kn → K un polynôme quasi-homogène de p...
Bachelor thesis pursue the Łojasiewicz inequality. The Łojasiewicz inequality is proved here for gen...
We give an expression for the Lojasiewicz exponent of a wide class of n-tuples of ideals (I (1),aEur...
Lojasiewicz’s inequalities were born to solve a problem in analysis (see [ L] and [Ma]) and, as deep...
Let be the real or the complex field, and let f : ⁿ → be a quasi-homogeneous polynomial with weigh...
Let f: (Cn,0) → (C,0) be a semiquasihomogeneous function. We give a formula for the local Łojasiewic...
AbstractWe give an expression for the Łojasiewicz exponent of a set of ideals which are pieces of a ...
This text has two parts; the first is the essentially unmodified text of the 1973-74 seminar of M. L...
En este trabajo estudiamos las pruebas de la desigualdad de Lojasiewicz desde la geometría algebraic...
. An estimation of the exponent of separation at infinity of algebraic sets is given. As a corollary...
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficien...
Abstract. We consider the set F = {p(z)x + q(y; z); p ∈ C[z]r {0}; q ∈ C[y; z]}. We connect algebrai...
The classical Lojasiewicz inequality and its extensions for partial differential equation problems (...