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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Uniformization of analytic spaces

Author(s): Edward Bierstone; Pierre D. Milman
Journal: J. Amer. Math. Soc. 2 (1989), 801-836.
MSC: Primary 32S45; Secondary 14E15
MathSciNet review: 1001853
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References:

[1]
S. S. Abhyankar, Weighted expansions for canonical desingularization, Lecture Notes in Math., no. 910, Springer, Berlin, Heidelberg, and New York, 1982. MR 653634 (84m:14013)

[2]
J. M. Aroca, H. Hironaka, and J. L. Vicente, The theory of the maximal contact, Mem. Mat. Inst. Jorge Juan, no. 29, Consejo Superior de Investigaciones Científicas, Madrid, 1975. MR 0444999 (56:3344)

[3]
-, Desingularization theorems, Mem. Mat. Inst. Jorge Juan, no. 30, Consejo Superior de Investigaciones Científicas, Madrid, 1977. MR 480502 (80h:32027)

[4]
B. M. Bennet, On the characteristic functions of a local ring, Ann. of Math. (2) 91 (1970), 25-87. MR 0252388 (40:5608)

[5]
E. Bierstone and P. D. Milman, Relations among analytic functions I, Ann. Inst. Fourier (Grenoble) 37 (1) (1987), 187-239. MR 894566 (88g:32013a)

[6]
-, Ideals of holomorphic functions with $             {\mathcal{C}^\infty }$ boundary values on a pseudoconvex domain, Trans. Amer. Math. Soc. 304 (1987), 323-342. MR 906818 (89c:32042)

[7]
-, Semianalytic and subanalytic sets, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 5-42. MR 972342 (89k:32011)

[8]
H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II, Ann. of Math. (2) 79 (1964), 109-326. MR 0199184 (33:7333)

[9]
-, Certain numerical characters of singularities, J. Math. Kyoto Univ. 10 (1970), 151-187. MR 0292831 (45:1913)

[10]
-, Introduction to the theory of infinitely near singular points, Mem. Mat. Inst. Jorge Juan, no. 28, Consejo Superior de Investigaciones Científicas, Madrid, 1974. MR 0399505 (53:3349)

[11]
-, Idealistic exponents of singularity, Algebraic Geometry (J. J. Sylvester Sympos., Johns Hopkins Univ., Baltimore, 1976), John Hopkins Univ. Press, Baltimore, 1977, pp. 52-125. MR 0498562 (58:16661)

[12]
M. Spivakovsky, A solution to Hironaka's polyhedra game, Arithmetic and geometry, Vol. II, Progr. Math., no. 36, Birkhäuser, Boston, 1983, pp. 419-432. MR 717618 (85m:14021)

[13]
J. C. Tougeron, Idéaux de fonctions différentiables, Springer, Berlin, Heidelberg, and New York, 1972. MR 0440598 (55:13472)

[14]
B. Youssin, Newton polyhedra without coordinates, Mem. Amer. Math. Soc. (to appear). MR 1013093 (91j:32038)

[15]
-, Newton polyhedra of ideals, Mem. Amer. Math. Soc. (to appear). MR 1013092 (91j:32039)

[16]
O. Zariski, Local uniformization on algebraic varieties, Ann. of Math. (2) 41 (1940), 852-896. MR 0002864 (2:124a)

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Additional Information:

DOI: 10.1090/S0894-0347-1989-1001853-2
PII: S0894-0347-1989-1001853-2
Copyright of article: Copyright 1989, American Mathematical Society




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