Uniformization of analytic spaces
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- by Edward Bierstone and Pierre D. Milman
- J. Amer. Math. Soc. 2 (1989), 801-836
- DOI: https://doi.org/10.1090/S0894-0347-1989-1001853-2
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References
- Shreeram S. Abhyankar, Weighted expansions for canonical desingularization, Lecture Notes in Mathematics, vol. 910, Springer-Verlag, Berlin-New York, 1982. With a foreword by U. Orbanz. MR 653634
- Jose M. Aroca, Heisuke Hironaka, and José L. Vicente, The theory of the maximal contact, Memorias de Matemática del Instituto “Jorge Juan”, No. 29. [Mathematical Memoirs of the Jorge Juan Institute, No. 29], Instituto “Jorge Juan” de Matemáticas, Consejo Superior de Investigaciones Científicas, Madrid, 1975. MR 0444999
- José M. Aroca, Heisuke Hironaka, and José L. Vicente, Desingularization theorems, Memorias de Matemática del Instituto “Jorge Juan” [Mathematical Memoirs of the Jorge Juan Institute], vol. 30, Consejo Superior de Investigaciones Científicas, Madrid, 1977. MR 0480502
- Bruce Michael Bennett, On the characteristic functions of a local ring, Ann. of Math. (2) 91 (1970), 25–87. MR 252388, DOI 10.2307/1970601
- E. Bierstone and P. D. Milman, Relations among analytic functions. I, Ann. Inst. Fourier (Grenoble) 37 (1987), no. 1, 187–239 (English, with French summary). MR 894566
- Edward Bierstone and Pierre D. Milman, Ideals of holomorphic functions with $C^\infty$ boundary values on a pseudoconvex domain, Trans. Amer. Math. Soc. 304 (1987), no. 1, 323–342. MR 906818, DOI 10.1090/S0002-9947-1987-0906818-9
- Edward Bierstone and Pierre D. Milman, Semianalytic and subanalytic sets, Inst. Hautes Études Sci. Publ. Math. 67 (1988), 5–42. MR 972342
- Heisuke Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II, Ann. of Math. (2) 79 (1964), 109–203; 79 (1964), 205–326. MR 0199184, DOI 10.2307/1970547
- Heisuke Hironaka, Certain numerical characters of singularities, J. Math. Kyoto Univ. 10 (1970), 151–187. MR 292831, DOI 10.1215/kjm/1250523817
- Heisuke Hironaka, Introduction to the theory of infinitely near singular points, Memorias de Matemática del Instituto “Jorge Juan”, No. 28, Consejo Superior de Investigaciones Científicas, Madrid, 1974. MR 0399505
- Heisuke Hironaka, Idealistic exponents of singularity, Algebraic geometry (J. J. Sylvester Sympos., Johns Hopkins Univ., Baltimore, Md., 1976) Johns Hopkins Univ. Press, Baltimore, Md., 1977, pp. 52–125. MR 0498562
- Mark Spivakovsky, A solution to Hironaka’s polyhedra game, Arithmetic and geometry, Vol. II, Progr. Math., vol. 36, Birkhäuser Boston, Boston, MA, 1983, pp. 419–432. MR 717618
- Jean-Claude Tougeron, Idéaux de fonctions différentiables, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 71, Springer-Verlag, Berlin-New York, 1972. MR 0440598
- Boris Youssin, Newton polyhedra without coordinates, Mem. Amer. Math. Soc. 87 (1990), no. 433, i–vi, 1–74. MR 1013093, DOI 10.1090/memo/0433
- Boris Youssin, Newton polyhedra of ideals, Mem. Amer. Math. Soc. 87 (1990), no. 433, i–vi, 75–99. MR 1013092, DOI 10.1090/memo/0433
- Oscar Zariski, Local uniformization on algebraic varieties, Ann. of Math. (2) 41 (1940), 852–896. MR 2864, DOI 10.2307/1968864
Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: J. Amer. Math. Soc. 2 (1989), 801-836
- MSC: Primary 32S45; Secondary 14E15
- DOI: https://doi.org/10.1090/S0894-0347-1989-1001853-2
- MathSciNet review: 1001853