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Three power series techniques

Published online by Cambridge University Press:  30 June 2004

Herwig Hauser
Herwig Hauser
Affiliation:
Mathematisches Institut, Universität Innsbruck, A-6020 Austria. E-mail: herwig.hauser@uibk.ac.at
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Abstract

The techniques and concepts we present are flags of regular schemes and their persistence under blow-up, the Gauss–Bruhat decomposition of the group of formal automorphisms of affine space, and coordinate-free initial ideals. All three are used to construct and study invariants for resolution of singularities.

Keywords

power seriesblow-upresolution of singularities14B0514E1532S0532S1032S45
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 89 , Issue 1 , July 2004 , pp. 1 - 24
Copyright
2004 London Mathematical Society

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Footnotes

Research supported in part by FWF Project P-15551 of the Austrian Ministry of Science, the Austrian–Spanish exchange program ‘Acciones Integradas’ and the Daniel Swarovski Forschungsförderungsfonds.