Constructiveness of Hironaka's resolution

Orlando Villamayor

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 1, page 1-32
  • ISSN: 0012-9593

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Villamayor, Orlando. "Constructiveness of Hironaka's resolution." Annales scientifiques de l'École Normale Supérieure 22.1 (1989): 1-32. <http://eudml.org/doc/82245>.

@article{Villamayor1989,
author = {Villamayor, Orlando},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {constructive resolution of the singularities; Hilbert-Samuel function},
language = {eng},
number = {1},
pages = {1-32},
publisher = {Elsevier},
title = {Constructiveness of Hironaka's resolution},
url = {http://eudml.org/doc/82245},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Villamayor, Orlando
TI - Constructiveness of Hironaka's resolution
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 1
SP - 1
EP - 32
LA - eng
KW - constructive resolution of the singularities; Hilbert-Samuel function
UR - http://eudml.org/doc/82245
ER -

References

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  1. [1] S. S. ABHYANKAR and T. T. MOH, Newton-Puiseux Expansion and Generalized Tschirnhausen Transformation (Crell Journal, Vol. 260, 1973, pp. 47-83 and Vol. 261, 1973, pp. 29-54). Zbl0272.12102MR49 #2724
  2. [2] J. M. AROCA, H. HIRONAKA and J. L. VICENTE, The Theory of Maximal Contact (Memo. Mat. del Inst. Jorge Juan, Vol. 29, Madrid, 1975). Zbl0366.32008MR56 #3344
  3. [3] J. M. AROCA, H. HIRONAKA and J. L. VICENTE, Desingularization Theorems (Memo. Mat. del Inst. Jorge Juan, Vol. 30, Madrid, 1977). Zbl0366.32009MR80h:32027
  4. [4] B. M. BENNETT, On the Characteristic Function of a Local Ring (Ann. Math., Vol. 91, 1970, pp. 25-87). Zbl0198.06101MR40 #5608
  5. [5] J. GIRAUD, Sur la théorie du contact maximal (Math. Zeit., Vol. 137, 1974, pp. 285-310). Zbl0275.32003MR57 #705
  6. [6] J. GIRAUD, Remarks on Desingularization Problems (Nova acta Leopoldina, NF 52, Nr. 240, 1981, pp. 103-107). Zbl0492.14008MR83e:14027
  7. [7] H. HIRONAKA, Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero, I-II (Ann. Math., Vol. 79, 1964). Zbl0122.38603MR33 #7333
  8. [8] H. HIRONAKA, Introduction to the Theory of Infinitely Near Singular Points (Memo Math. des Inst. Jorge Juan, Vol. 28, Madrid, 1974). Zbl0366.32007MR53 #3349
  9. [9] H. HIRONAKA, Idealistic Exponents of Singularity (Alg. Geom., J. J. Sylvester Symp., John Hopkins Univ. Baltimore, Maryland 1976, John Hopkins Univ. Press 1977). Zbl0496.14011

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