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A simple algorithm for principalization of monomial ideals
Author(s):
Russell
A.
Goward Jr.
Journal:
Trans. Amer. Math. Soc.
357
(2005),
4805-4812.
MSC (2000):
Primary 13A99, 14E99
Posted:
July 19, 2005
MathSciNet review:
2165388
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Abstract:
In this paper, we give a simple constructive proof of principalization of monomial ideals and the global analog. This also gives an algorithm for principalization.
References:
-
- [BM]
- Bierstone, E., Milman, P., Canonical Desingularization in Characteristic Zero by Blowing-Up the Maximal Strata of a Local Invariant, Ivent. Math., 128 (1997), 207-302. MR 1440306 (98e:14010)
- [EV]
- Encinas, S., Villamayor, O., A Course on Constructive Desingularization and Equivariance, Resolution of Singularities: A Research Textbook, Birkhauser, Progress in Mathematics, v. 181 (2000). MR 1748620 (2001g:14018)
- [G]
- Goward, Russell, A., A Principalizing Ideal of a Monomial Ideal, preprint.
- [H1]
- Hartshorne, R., Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, 1977. MR 0463157 (57:3116)
- [H2]
- Hironaka, H., Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero, Annals of Math., Vol. 79, 1964. MR 0199184 (33:7333)
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Additional Information:
Russell
A.
Goward
Jr.
Affiliation:
Department of Mathematics, University of Michigan-Ann Arbor, Ann Arbor, Michigan 48109-1109
DOI:
10.1090/S0002-9947-05-03866-3
PII:
S 0002-9947(05)03866-3
Received by editor(s):
November 20, 2002
Posted:
July 19, 2005
Additional Notes:
The author thanks Steven Dale Cutkosky for his advice and patience as supervisor for the author's Ph.D. thesis, and Karen Smith for her advice and help with numerous corrections to this paper.
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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