Resumen de Tangent cone algorithm for homogenized differential operators

Nobuki Takayama, Toshinori Oaku, Michel Granger

• We extend Mora¿s tangent cone or the écart division algorithm to a homogenized ring of differential operators. This allows us to compute standard bases of modules over the ring of analytic differential operators with respect to sufficiently general orderings which are needed in the D-module theory.