3 papers
math.AG2017
The Łojasiewicz exponent for weighted homogeneous polynomials of two real variables
Ould M Abderrahmane
The purpose of this paper is to give the exact value of the Łojasiewicz exponent for an isolated weighted homogeneous polynomials of two real variaibles in terms of its weights.
math.AG2015
The Yau's characterization of isolated homogeneous hypersurface singularities
Ould M. Abderrahmane
Using the semicontinuity of the Milnor number and the Łojasiewicz exponent, we give a simple proof of Yau's characterization of isolated homogenous hypersurface singularities.
math.AG2015
On deformation with constant Milnor number and Newton polyhedron
Ould M Abderrahmane
We show that every -constant family of isolated hypersurface singularities satisfying a nondegeneracy condition in the sense of Kouchnirenko, is topologically trivial, also is e…