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A Stratification Given by Artin-Rees Estimates

Published online by Cambridge University Press:  20 November 2018

Ti Wang
Ti Wang*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1
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Let = ℝ or ℂ. Let U be an open subset of n. Let X be a closed analytic subset of U and let Z be a proper closed analytic subset of X. Let M(X;Z) denote the ring of meromorphic functions on Xwhose poles lie in Z. Let M be the families of formal power series generated by a finite sequence ƒi,… ,ƒq ∈ M(X; Z) ⟦ y⟧p (For details, see § 2).

Keywords

13C0513H05

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 1 , 01 December 1991 , pp. 194 - 205
Copyright
Copyright © Canadian Mathematical Society 1989

References

[B-M, 1] Bierstone, E. and Milman, P., The local geometry of analytic mappings. Dottorato di ricerca in matematica, Universita di Pisa, Dipartimento di Matematica, 1988.Google Scholar
[B-M, 2] Bierstone, E., Relations among analytic functions, Ann. Inst. Fourier (Grenoble)(1)37 (1987) and (2) 37(1987).Google Scholar
[B-M, 3] Bierstone, E., The Newton diagram of an analytic morphism, and applications to differentiable functions, Bull. Amer. Math. Soc. (N.S.) (3) 9(1983).Google Scholar
[Bou] Bourbaki, N., Commutative algebra. Hermann, Paris and Addison-Wesley, Reading, Mass. 1972.Google Scholar
[D-O] Duncan, A.J. and O'Carroll, L., A full uniform Artin-Rees theorem, J. Reine Angew. Math. 394(1989), 203–207.Google Scholar
[E-H] Eisenbud, D. and Hochster, M., A Nullstellensatz with nilpotentsandZariski's main lemma on holomophic functions J. Algebra 58(1979), 157–161.Google Scholar
[Mat] Matsumura, H., Commutative algebra. Benjamin/Cummings, Reading, Mass., 1980.Google Scholar