Singularités rationnelles de surfaces
Séminaire sur les singularités des surfaces (1976-1977), Exposé no. 10, 25 p. 
@article{SSS_1976-1977____A11_0,
     author = {Pinkham, H.},
     title = {Singularit\'es rationnelles de surfaces},
     journal = {S\'eminaire sur les singularit\'es des surfaces},
     note = {talk:10},
     pages = {1--25},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1976-1977},
     language = {fr},
     url = {http://www.numdam.org/item/SSS_1976-1977____A11_0/}
}
TY  - JOUR
AU  - Pinkham, H.
TI  - Singularités rationnelles de surfaces
JO  - Séminaire sur les singularités des surfaces
N1  - talk:10
PY  - 1976-1977
SP  - 1
EP  - 25
PB  - Ecole Polytechnique, Centre de Mathématiques
UR  - http://www.numdam.org/item/SSS_1976-1977____A11_0/
LA  - fr
ID  - SSS_1976-1977____A11_0
ER  - 
%0 Journal Article
%A Pinkham, H.
%T Singularités rationnelles de surfaces
%J Séminaire sur les singularités des surfaces
%Z talk:10
%D 1976-1977
%P 1-25
%I Ecole Polytechnique, Centre de Mathématiques
%U http://www.numdam.org/item/SSS_1976-1977____A11_0/
%G fr
%F SSS_1976-1977____A11_0
Pinkham, H. Singularités rationnelles de surfaces. Séminaire sur les singularités des surfaces (1976-1977), Exposé no. 10, 25 p. http://www.numdam.org/item/SSS_1976-1977____A11_0/

Ega Iii Grothendieck, A., Dieudonné, J., Eléments de Géométrie Algébrique III, Publ. Math. IHES, 8 (1961). | Numdam

[1] Altman, A., Kleiman, S., Introduction to Grothendieck duality theory, Springer Lecture Notes 146 (1970). | MR | Zbl

[2] Artin, M., Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math. 84, 485-496 (1962). | MR | Zbl

[3] Artin, M., On isolated rational singularities of surfaces, Amer. J. Math. 88, 129-136 (1966). | MR | Zbl

[4] Artin, M., Algebraization of formal moduli: II. Existence of modifications, Annals Math. 91, 88-135 (1970). | MR | Zbl

[5] Artin, M., Algebraic construction of Brieskorn's resolutions, J. Algebra 29, 330-348 (1974). | MR | Zbl

[6] Artin, M., Coverings of rational double points in characteristic p, to appear. | MR | Zbl

[7] Bourbaki, N., Groupes et algèbres de Lie, ch. 4, 5 et 6, Hermann, Paris (1968). | MR | Zbl

[8] Brieskorn, E., Uber die Auflösung gewisser Singularitäten von holomorphen Abbildungen, Math. Annalen 166, 77-102 (1966). | MR | Zbl

[8'] Brieskorn, E., Die Auflösung der rationalen Singularitäten holomorphen Abbildungen, Math. Annalen 178, 255-270 (1968). | MR | Zbl

[9] Brieskorn, E., Rationale Singularitäten komplexer Flächen, Inv. Math. 4, 336-358 (1968). | MR | Zbl

[10] Burns, D., Wahl, J., Local contributions to global deformations of surfaces, Inv. Math. 26, 67-88 (1974). | MR | Zbl

[11] Demazure, M., Exposé sur les systèmes de racines, Ecole Polytechnique, Séminaire sur les singularités des surfaces, Printemps 1977.

[12] Du Val, P., On isolated singularities which do not affect the conditions of adjunction, Part I, Proc. Cambridge Phil. Soc. 30, 453-465 (1934). | JFM | Zbl

[12'] Du Val, P., On absolute and non absolute singularities of algebraic surfaces, Istambul Univ. Fen. Fak. Mecmvasi 9 (A) 159-215 (1944). | MR | Zbl

[13] Grauert, H., Uber Modifikationen und exzeptionelle analytische Mengen, Math. Ann. 146, 331-368 (1962). | MR | Zbl

[14] Grauert, H., Riemenschneider, O., Verschwindunsgssätze fUr analytische Kohomologiegruppen auf komplexen Räumen, Inv. Math. 11, 263-292 (1970). | MR | Zbl

[15] Grothendieck, A., Local cohomology, Springer Lecture Notes 41, (1967). | MR | Zbl

[16] Hartshorne, R., Ample subvarieties of algebraic varieties, Springer Lecture Notes 156 (1970). | MR | Zbl

[17] Hartshorne, R., Ogus, A., On the factoriality of local rings of small embedding codimension, Comm. in Alg. 1 (5), 415-437 (1974). | MR | Zbl

[18] Kirby, D., The structure of an isolated multiple point of a surface, I, II, III, Proc. London Math. Soc. (3), 6, 597-609 (1956) et 7, 1-28 (1957). | MR | Zbl

[19] Laufer, H., On rational singularities, Amer. J. Math. 94, 597-608 (1972). | MR | Zbl

[20] Lipman, J., Rational singularities...., Publ. Math. IHES 36, 195-279 (1969). | Numdam | MR | Zbl

[21] Lipman, J., Desingularization of two-dimensional schemes, to appear. | MR | Zbl

[22] Mumford, D., The topology of normal singularities of an algebraic surface, Publ. Math. IHES 9, 5-22 (1961). | Numdam | MR | Zbl

[23] Pinkham, H., Normal surface singularities with C* action, Math. Ann. 227, 183-193 (1977). | MR | Zbl

[24] Pinkham, H., Singularités de Klein, I, II, Ecole Polytechnique, Séminaire sur les singularités des surfaces, Automne 1976. | Numdam | Zbl

[25] Schlessinger, M., Rigidity of quotient singularités, Inv. Math. 14, 17-26 (1971). | MR | Zbl

[26] Steenbrick, J., Mixed Hodge structure on the vanishing cohomology, to appear. | Zbl

[27] Tjurina, G.N., Absôlute isolatedness of rational singularities and rational triple points, Func. Anal. Appl. 2, 324-332 (1968). | MR | Zbl

[28] Wahl, J., Vanishing theorems for resolutions of surface singularities, Inv. Math. 31, 17-41 (1975). | MR | Zbl

[29] Wahl, J., Equations defining rational singularities, Ann. Sci. E.N.S. (4) 10, 231-264 (1970). | Numdam | MR | Zbl

[30] Walker, R., Algebraic curves, Dover, New York (1962). | MR | Zbl

[31] Zariski, O., The theorem of Riemann-Roch for high multiples of an effective divisor on a algebraic surface, Annals Math. 76, 560-615 (1962). | MR | Zbl