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Three Power Series Techniques
Authors:Hauser   Herwig
Affiliation:Mathematisches Institut, Universität Innsbruck A-6020 Austria. E-mail: herwig.hauser{at}uibk.ac.at
Abstract:The techniques and concepts we present are flags of regularschemes and their persistence under blow-up, the Gauss–Bruhatdecomposition 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.
Keywords:power series    blow-up    resolution of singularities
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