Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques

J.-Y. Mérindol

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 1, page 17-44
  • ISSN: 0012-9593

How to cite

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Mérindol, J.-Y.. "Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques." Annales scientifiques de l'École Normale Supérieure 15.1 (1982): 17-44. <http://eudml.org/doc/82091>.

@article{Mérindol1982,
author = {Mérindol, J.-Y.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {deformations; simple elliptic singularity; del Pezzo surfaces; enumeration of singular points},
language = {fre},
number = {1},
pages = {17-44},
publisher = {Elsevier},
title = {Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques},
url = {http://eudml.org/doc/82091},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Mérindol, J.-Y.
TI - Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 1
SP - 17
EP - 44
LA - fre
KW - deformations; simple elliptic singularity; del Pezzo surfaces; enumeration of singular points
UR - http://eudml.org/doc/82091
ER -

References

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  1. [1] N. BOURBAKI, Groupes et algèbres de Lie, chap. 4, 5 et 6, Hermann, Paris, 1969. 
  2. [2] J. A. CARLSON, The Obstruction to Splitting a Mixed Hodge Structure over the Integers, I, Preprint, Univertity of Utah. 
  3. [3] H. S. M. COXETER, Finite Groups generated by Reflections and their Subgroups Generated by Reflections (Proc. Cambridge Philos. Soc., vol. 30, 1934). Zbl0010.15403
  4. [4] M. DEMAZURE, Surfaces de Del Pezzo, II, III, IV et V (Lecture Notes in Math., n° 77, Berlin, Heidelberg, New York, Springer, 1980). Zbl0444.14024
  5. [5] P. DU VAL, On Isolated Singularities which do not Affect the Conditions of Adjunction. III (Proc. Cambridge Philos. Soc., vol. 30, 1934). Zbl0010.17701JFM60.0600.01
  6. [6] H. KNÖRRER, Die Singularitäten vom Typ D (Math. Ann., vol. 251, 1980, p. 135-150). Zbl0423.32011
  7. [7] E. LOOIJENGA, Roots Systems and Elliptic Curves (Inventiones Math., vol. 38, 1976, p. 17-32). Zbl0358.17016MR57 #6015
  8. [8] E. LOOIJENGA, On the Semi-Universal Deformation of a Simple Elliptic Singularity II (Topology, vol. 17, 1978, p. 23-40). Zbl0392.57013MR58 #11503
  9. [9] Y. I. MANIN, Cubic Forms, Amsterdam North-Holland, 1974. Zbl0277.14014
  10. [10] D. MUMFORD, Abelian Varieties, Oxford University Press, 1970. Zbl0223.14022MR44 #219
  11. [11] H. PINKHAM, Résolution simultanée de points doubles rationnels (Lecture Notes in Math., n° 777, Berlin, Heidelberg, New York, Springer, 1980). Zbl0457.14004MR82d:14021
  12. [12] H. PINKHAM, Deformations of Algebrics Varieties with Gm Action (Astérisque, vol. 20, Soc, Math. France, 1974). Zbl0304.14006MR51 #12847
  13. [13] H. PINKHAM, Deformation of Normal Surface Singularities with C& Action (Math. Ann., vol. 232, 1978, p. 65-84). Zbl0351.14004MR58 #16648
  14. [14] H. PINKHAM, Simple Elliptic Singularities, Del Pezzo Surface and Cremona Transformations (Proc. of Symposia in Pure Math., vol. 30, 1977, p. 69-70). Zbl0391.14006MR56 #358
  15. [15] G. N. TJURINA, Resolution of Singularities for Flat Deformations of Rational Double Points (Funk. Anal. i Pril., vol. 4, 1970, p. 77-83). Zbl0221.32008MR42 #2031

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