Désingularisation des surfaces par des modifications de Nash normalisées

Gerardo Gonzalez-Sprinberg

Séminaire Bourbaki (1985-1986)

  • Volume: 28, page 187-207
  • ISSN: 0303-1179

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Gonzalez-Sprinberg, Gerardo. "Désingularisation des surfaces par des modifications de Nash normalisées." Séminaire Bourbaki 28 (1985-1986): 187-207. <http://eudml.org/doc/110061>.

@article{Gonzalez1985-1986,
author = {Gonzalez-Sprinberg, Gerardo},
journal = {Séminaire Bourbaki},
keywords = {normalized Nash blowing-ups; sandwich singularity; desingularization},
language = {fre},
pages = {187-207},
publisher = {Société Mathématique de France},
title = {Désingularisation des surfaces par des modifications de Nash normalisées},
url = {http://eudml.org/doc/110061},
volume = {28},
year = {1985-1986},
}

TY - JOUR
AU - Gonzalez-Sprinberg, Gerardo
TI - Désingularisation des surfaces par des modifications de Nash normalisées
JO - Séminaire Bourbaki
PY - 1985-1986
PB - Société Mathématique de France
VL - 28
SP - 187
EP - 207
LA - fre
KW - normalized Nash blowing-ups; sandwich singularity; desingularization
UR - http://eudml.org/doc/110061
ER -

References

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  1. [A1] M. Artin : "On isolated rationnal singularities of surfaces", (Amer. J. of Math., vol. 88 (1966), p. 129-136). Zbl0142.18602MR199191
  2. [A2] M. Artin : "Some numerical criteria for contractability of curves on algebraic surfaces", (Amer. J. of Math., vol. 84 (1962), p. 485-496). Zbl0105.14404MR146182
  3. [G1] G. Gonzalez-Sprinberg : "Eventails en dimension deux et transformé de Nash", (Publ. de l'E.N.S., 1977, 67 p.). 
  4. [G2] G. Gonzalez-Sprinberg : "Résolution de Nash des points doubles rationnels", (Ann. Inst. Fourier, 32, 2 (1982), p. 111-178) Zbl0469.14019MR662442
  5. [H] H. Hironaka : "On Nash Blowing-up", (Arithmetic and Geometry II, Birkhaüser, 1983, p. 103-111). Zbl0595.14006MR717608
  6. [La] H. Laufer : "Normal two dimensional singularities", (Princeton Univ. Press, 1971). Zbl0245.32005MR320365
  7. [Li] J. Lipman : "Rational singularities with applications to algebraic surfaces and unique factorization", (Publ. Math. IHES, vol. 36 (1969), p. 195-279). Zbl0181.48903MR276239
  8. [L-T] D.T. Lê B. Teissier : "Variétés polaires locales et classes de Chern de variétés singulières", (Ann. of Maths.114 (1981), p. 457-491). Zbl0488.32004MR634426
  9. [M] R. MacPherson : "Chern classes for singular algebraic varieties", (Annals of Maths., vol. 100, n° 2 (1974), p. 423-432). Zbl0311.14001MR361141
  10. [N] A. Nobile : "Some properties of the Nash blowing-up", (Pacific J. Math., vol. 60 (1975), p. 297-305). Zbl0324.32012MR409462
  11. [P] R. Piene : "Polar classes of singular varieties", (Ann. Sci. E.N.S., t. 11 (1978), p. 247-276) Zbl0401.14007MR510551
  12. [R] V. Rebassoo : "Desingularisation properties of the Nash Blowing-up process", (Thèse, Univ. of Washington, 1977). 
  13. [S] M. Spivakovsky : "Sandwiched surface singularities and the Nash resolution for surfaces", (Thèse, Harvard Univ., 1985). Zbl0626.14012
  14. [Z1] O. Zariski : "Polynomial ideals defined by infinitely near base points", (Amer. J. Math., 60 (1937), p. 151-204). Zbl0018.20101MR1507308JFM64.0079.01
  15. [Z2] O. Zariski and P. Samuel : "Commutative Algebra" Vol. 2, Appendix (Van Nostrand, 1960). Zbl0121.27801MR120249
  16. [Z3] O. Zariski : "The reduction of the singularities of an algebraic surface", (Ann. of Math., 40 (1939), p. 639-689). Zbl0021.25303MR159

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