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Polynomial expansion

Author(s): Shreeram S. Abhyankar
Journal: Proc. Amer. Math. Soc. 126 (1998), 1583-1596.
MSC (1991): Primary 12F10, 14H30, 20D06, 20E22
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Abstract: The idea of initial form is refined into the concept of polyform. This can be used to streamline desingularization.

References:

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S. S. Abhyankar, Resolution of Singularities of Embedded Algebraic Surfaces, Academic Press, New York, 1966. MR 36:164

[AbhD]
S. S. Abhyankar, Desingularization of Plane Curves, Proceedings of Symposia in Pure Mathematics 40 (1983), 1-45. MR 85d:14024

[AbhW]
S. S. Abhyankar, Weighted Expansions for Canonical Desingularization, Springer Verlag, New York, 1982. MR 84m:14013

[AbhG]
S. S. Abhyankar, Good Points of a Hypersurface, Advances in Mathematics 68 (1988), 87-256. MR 89e:14012

[Bhas]
Bhaskaracharya, Beejaganit, 1150.

[Mats]
H. Matsumura, Commutative Algebra, Second Edition, Benjamin, Reading, 1980. MR 82i:13003

[Naga]
M. Nagata, Local Rings, Interscience, New York, 1962. MR 27:5790

[ZarS]
O. Zariski and P. Samuel, Commutative Algebra II, Van Nostrand, Princeton, 1960. MR 22:11006

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Additional Information:

Shreeram S. Abhyankar
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email: ram@cs.purdue.edu

DOI: 10.1090/S0002-9939-98-04183-5
PII: S 0002-9939(98)04183-5
Received by editor(s): July 29, 1996
Received by editor(s) in revised form: November 8, 1996
Additional Notes: This work was partly supported by the Deutsche Forschungsgemeinschaft and the National Security Agency.
Dedicated: Dedicated to Herbert Popp for his Sixtieth Birthday
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1998, American Mathematical Society

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