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An ideal separating extension of affine space
Author(s):
Paul
S.
Pedersen
Journal:
Trans. Amer. Math. Soc.
359
(2007),
3071-3083.
MSC (2000):
Primary 14xx, 13xx
Posted:
January 4, 2007
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Abstract:
In affine space the set of solutions to a system of polynomial equations does not uniquely determine the system. We extend affine space so that the solutions (in the extension) to a system of equations uniquely determines the system.
References:
-
- 1.
- F.Macaulay, ``The Algebraic Theory of Modular Systems'', Cambridge U. Press, 1916. Reprint with new introduction, Cambridge U. Press, Cambridge, 1994. MR 1281612 (95i:13001)
- 2.
- P. S. Pedersen, ``A Basis for Power Series Solutions to Systems of Linear Constant Coefficient Partial Differential Equations'' Adv. Math., 141 , 155-166 (1999). MR 1667149 (99k:35022)
- 3.
- D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry (Springer-Verlag, New York, 1995). MR 1322960 (97a:13001)
- 4.
- D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms (Springer-Verlag, New York, 1992). MR 1189133 (93j:13031)
- 5.
- M.G.Marinari, H.M.Moller, T.Mora, ``On Mulitplicities in Polynomial System Solving''Trans. Amer. Math. Soc. 348 (1996), no. 8, 3283-3321. MR 1360228 (96k:13039)
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Additional Information:
Paul
S.
Pedersen
Affiliation:
Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545
DOI:
10.1090/S0002-9947-07-04123-2
PII:
S 0002-9947(07)04123-2
Received by editor(s):
April 24, 2003
Received by editor(s) in revised form:
March 9, 2005
Posted:
January 4, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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