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Three Power Series Techniques
Author(s) -
Hauser Herwig
Publication year - 2004
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611503014588
Subject(s) - mathematics , automorphism , affine transformation , pure mathematics , power series , series (stratigraphy) , algebra over a field , resolution (logic) , resolution of singularities , construct (python library) , space (punctuation) , gravitational singularity , mathematical analysis , artificial intelligence , computer science , paleontology , biology , programming language , operating system
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. 2000 Mathematics Subject Classification 14B05, 14E15, 32S05, 32S10, 32S45.