Santiago Encinas
Resolution of Singularities and applications.

Resolution of singularities
Some easy examples:
  • Blowing up of the origin in the plane, here.
  • Resolution of the cusp $x^3-y^2$, here.
Some examples of resolution of singularities. Computed with Villamayor's algorithm of resolution of singularities and using the program implemented by G. Bodnár y J. Schicho from RISC Institut, Linz (Austria).
Łojasiewicz exponent:
The Łojasiewicz exponent can be computed using an algorithm of resolution of singularities.
Here you can download a Singular program for computing Lojasiewicz exponent. You need to install the package desing implemented by G. Bodnár y J. Schicho.