Conditions d'adjonction, d'après Du Val

B. Teissier; M. Merle

Séminaire sur les singularités des surfaces (1976-1977)

  • page 1-16

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Teissier, B., and Merle, M.. "Conditions d'adjonction, d'après Du Val." Séminaire sur les singularités des surfaces (1976-1977): 1-16. <http://eudml.org/doc/114148>.

@article{Teissier1976-1977,
author = {Teissier, B., Merle, M.},
journal = {Séminaire sur les singularités des surfaces},
keywords = {germ of a reduced hypersurface; ideal of differential forms; conductor of adjunction; rational double point; isolated hypersurface singularity},
language = {fre},
pages = {1-16},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Conditions d'adjonction, d'après Du Val},
url = {http://eudml.org/doc/114148},
year = {1976-1977},
}

TY - JOUR
AU - Teissier, B.
AU - Merle, M.
TI - Conditions d'adjonction, d'après Du Val
JO - Séminaire sur les singularités des surfaces
PY - 1976-1977
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 16
LA - fre
KW - germ of a reduced hypersurface; ideal of differential forms; conductor of adjunction; rational double point; isolated hypersurface singularity
UR - http://eudml.org/doc/114148
ER -

References

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  1. [A] V.I. Arnol'd, Critical points of smooth functions and thir normal forms, Russian Math. Surveys30 (5) (1975) 1-75. Zbl0343.58001MR420689
  2. [B] D. Burns, On rational singularities in dimension &gt; 2, Math. Ann.211, (1974) 237-244. Zbl0278.32009MR364672
  3. [DV] P. Du Val, On isolated singularities of surfaces which do not affect the condition of adjunction, Proc. Camb. Phil. Soc.30 (1934). Zbl0010.17701
  4. [E] R. Elkik, à paraître. 
  5. [Gr] H. Grauert, O. Riemenschneider, Verschurndungsätze for analytische Kohomologiegruppen auf Komplexen räumen, Inventiones Math.11 (1970) 263-292. Zbl0202.07602MR302938
  6. [H] W.V.D. Hodge, The isolated singularities of an algebraic surface, Proc. London Math. Soc.30 (1930) 133-143. Zbl55.1004.07JFM55.1004.07
  7. [K] A.G. Kushnirenko, Polyèdres de Newton et nombres de Milnor, Inventiones Math.32 (1972) 597-608. Zbl0328.32007
  8. [La] H. Laufer, On rational singularities, Amer. J. Math.94 (1972) 597-608. Zbl0251.32002MR330500
  9. [M] M. Merle, Polyèdre de Newton, éventails et désingularisation, d'après A.N. Varchenko, dans ce séminaire. Zbl0456.14007
  10. [Pc] E. Picard, G. Simart, Théorie des fonctions algébriques de deux variables indépendantes, Chelsea Publ. Company, Bronx New-York1971. Zbl37.0404.02MR392468JFM37.0404.02
  11. [V] A.N. Varchenko, Zeta function of monodromy and Newton's diagram, Inv. Math.37 (1976). Zbl0333.14007MR424806

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