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Nash equidimensionality theorem
Author(s):
Masato
Fujita
Journal:
Proc. Amer. Math. Soc.
133
(2005),
363-367.
MSC (2000):
Primary 14P20
Posted:
September 2, 2004
MathSciNet review:
2093056
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Abstract:
Consider a Nash mapping of Nash subsets. After a finite number of Nash blowings-up, the Nash mapping induced from it has equidimensional fibers. The purpose of this short note is to show this Nash equidimensionality theorem.
References:
- 1.
- M. Coste, M. Ruiz and M. Shiota. Uniform bounds on complexity and transfer of g lobal properties of Nash functions. J. reine angew. Math., 536:209-235, 2001. MR 2003c:14065
- 2.
- A. Parusinski. Subanalytic functions. Trans. Amer. Math. Soc., 344(2):583-59 5, 1994. MR 94k:32006
- 3.
- M. Shiota. Piecewise linearization of subanalytic functions. II. Real analytic and algebraic geometry (Trento, 1998), 247-307, Lecture Notes in Math., 1420, Springer, Berlin, 1990. MR 91m:32009
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Additional Information:
Masato
Fujita
Affiliation:
Department of Mathematics, Kyoto University, Kyoto, 606-8502 Japan
Email:
fujita@math.kyoto-u.ac.jp
DOI:
10.1090/S0002-9939-04-07441-6
PII:
S 0002-9939(04)07441-6
Received by editor(s):
December 12, 2002
Received by editor(s) in revised form:
July 10, 2003
Posted:
September 2, 2004
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2004,
American Mathematical Society
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