Bibliographie
Abeasis S., Del Fra A., Kraft H.: The geometry of representations ofA n . Math. Ann.256, 401–418 (1981)
Boutot J.-F.: Frobenius et cohomologie locale, in séminaire Bourbaki, exposé 453, nov. 1974. Lect. Notes Math.514. Berlin Heidelberg New York: Springer (1976)
Burns D.: On rational singularities in dimensions >2. Math. Ann.211, 237–244 (1974)
Elkik R.: Singularités rationnelles et déformations. Invent. math.47, 139–147 (1978)
Grauert H., Riemenschneider O.: Verschwindungssätze für analytische Kohomologiegruppen auf komplexen Räumen. Invent. math.11, 263–290 (1970)
Hartshorne R., Ogus A.: On the factoriality of local rings of small embedding codimension. Commun. Algebra1, 415–437 (1974)
Hironaka H.: Resolution of singularities of an algebraic variety over a field of characteristic zero. Ann. Math.79, 109–326 (1964)
Hochster M.: Cohen-Macaulay rings and modules. In: Proceedings of the International Congress of Mathematicians, helsinki 1978, vol. 1, pp. 291–298 Helsinki: Academia Scientiarium Fennica 1980
Hochster M., Roberts J.L.: Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay. Adv. Math.,13, 115–175 (1974)
Kraft H., Procesi C.: On the geometry of conjugacy classes in classical groups. Comment. Math. Helvetici57, 539–602 (1982)
Kempf G.: On the collapsing of homogeneous bundles. Invent. math.37, 229–239 (1976)
Kempf G.: Some quotient varieties have rational singularities, Michigan Math. J.24, 347–352 (1977)
Kempf G., Knudsen F., Mumford D., Saint-Donat B.: Toroidal embeddings I. Lect. Notes Math.339. Berlin Heidelberg New York: Springer 1973
Viehweg E.: Rational singularities of higher dimensional schemes. Proc. Am. Math. Soc.63, 6–8 (1977)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Boutot, JF. Singularités rationnelles et quotients par les groupes réductifs. Invent Math 88, 65–68 (1987). https://doi.org/10.1007/BF01405091
Issue Date:
DOI: https://doi.org/10.1007/BF01405091