Abstract: | The techniques and concepts we present are flags of regularschemes and their persistence under blow-up, the GaussBruhatdecomposition of the group of formal automorphisms of affinespace, and coordinate-free initial ideals. All three are usedto construct and study invariants for resolution of singularities.2000 Mathematics Subject Classification 14B05, 14E15, 32S05,32S10, 32S45. |