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Simple Hironaka resolution in characteristic zero
Author(s):
Jaroslaw
Wlodarczyk
Journal:
J. Amer. Math. Soc.
18
(2005),
779-822.
MSC (2000):
Primary 14E15, 14B05, 32S05, 32S45
Posted:
July 13, 2005
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Abstract:
Building upon work of Villamayor and Bierstone-Milman we give a proof of the canonical Hironaka principalization and desingularization. The idea of ``homogenized ideals" introduced in the paper gives a priori the canonicity of the algorithm and radically simplifies the proof.
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Additional Information:
Jaroslaw
Wlodarczyk
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
wlodar@math.purdue.edu, jwlodar@mimuw.edu.pl
DOI:
10.1090/S0894-0347-05-00493-5
PII:
S 0894-0347(05)00493-5
Received by editor(s):
January 28, 2004
Posted:
July 13, 2005
Additional Notes:
The author was supported in part by NSF grant DMS-0100598 and Polish KBN grant 2 P03 A 005 16
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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