@article{ASENS_1993_4_26_1_1_0, author = {Brion, Michel}, title = {Sur les modules de covariants}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {1--21}, publisher = {Elsevier}, volume = {4e s{\'e}rie, 26}, number = {1}, year = {1993}, doi = {10.24033/asens.1665}, mrnumber = {95c:14062}, zbl = {0781.13002}, language = {fr}, url = {http://www.numdam.org/articles/10.24033/asens.1665/} }
Brion, Michel. Sur les modules de covariants. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 26 (1993) no. 1, pp. 1-21. doi : 10.24033/asens.1665. http://www.numdam.org/articles/10.24033/asens.1665/
[Ba-Ha] Linearizing certain reductive group actions (Trans. A.M.S., vol. 292, n° 2, 1985, p. 463-482). | MR | Zbl
et ,[Bo] Algèbre commutative (Hermann, Paris, 1965).
,[Br-Di] Comportement asymptotique des covariants (Bull. Soc. math. France, vol. 119, 1991, p. 217-230). | Numdam | MR | Zbl
et ,[Br] On the generating function associated to a system of binary forms (Indag. Mathem., vol. 1, 1990, p. 15-25). | MR | Zbl
,[Di] Quelques résultats et conjectures concernant les séries de Poincaré des invariants des formes binaires (dans : Séminaire d'algèbre, Lecture Notes in Math., vol. 1146, 1985, Springer-Verlag, Berlin/Heidelberg/New York). | MR | Zbl
,[Ha] Stable reflexive sheaves (Math. Ann., vol. 254, 1980, p. 121-176). | MR | Zbl
,[He-Ku] Der kanonische Modul eines Cohen-Macaulay Rings (Lecture Notes in Math., vol. 238, 1971, Springer-Verlag, Berlin/Heidelberg/New York). | MR | Zbl
et ,[Ho] Asymptotics of dimensions of invariants for finite groups (J. of Alg., vol. 122, 1989, p. 374-379). | MR | Zbl
,[Kn1] Über die Glattheit von Quotientenabbildungen (Manuscripta Math., vol. 56, 1986, p. 419-427). | MR | Zbl
,[Kn2] Der kanonische Modul eines Invariantenringes (J. of Alg., vol. 127, 1989, p. 40-54). | MR | Zbl
,[Kn-Li] Der Grad erzeugender Funktionen von Invarianteringen (Math. Z., vol. 196, 1987, p. 211-229). | EuDML | MR | Zbl
et ,[Kr] Geometrische Methoden in der Invariantentheorie (Vieweg, Braunschweig/Wiesbaden, 1985). | Zbl
,[Lu1] Slices étales (Bull. Soc. math. France, Mémoire, vol. 33, 1973, p. 81-105). | EuDML | Numdam | MR | Zbl
,[Lu2] Adhérences d'orbites et invariants (Invent. Math., vol. 29, 1975, p. 231-238). | EuDML | MR | Zbl
,[Sc1] Representations of simple Lie groups with regular rings of invariants (Invent. Math., vol. 49, 1978, p. 167-191). | EuDML | MR | Zbl
,[Sc2] Lifting smooth homotopies of orbit spaces (Publ. Math. I.H.E.S., vol. 51, 1980, p. 37-135). | EuDML | Numdam | MR | Zbl
,[Sh] Some remarks on the Chevalley theorem (Funct. Anal. and its Appl., vol. 16, n° 3, 1982, p. 237-238). | MR | Zbl
,[Sl] Der Scheibensatz für algebraische Transformationsgruppen (dans Kraft, Slodowy, Springer éd. : Algebraische Transformationsgruppen und Invariantentheorie, Birkhäuser, Basel/Boston/Berlin, 1989). | Zbl
,[Sp] Aktionen reduktiver Gruppen (dans Kraft, Slodowy) Springer éd. : Algebraische Transformationsgruppen und Invariantentheorie, Birkhäuser, Basel/Boston/Berlin, 1989). | MR | Zbl
,[St1] Hilbert functions of graded algebras (Adv. Math., vol. 28, 1978, p. 57-83). | MR | Zbl
,[St2] Combinatorics and invariant theory (dans D. K. RAY-CHAUDHURI éd. : Relations between combinatorics and other parts of mathematics, Proc. in Symp. in Pure Math., vol. 34, 1979, p. 345-356). | MR | Zbl
,[VdB1] Cohen-Macaulayness of modules of covariants (Invent. Math., vol. 106, 1991, p. 389-410). | EuDML | MR | Zbl
,[VdB2] A converse of Stanley's conjecture for SL(2) (preprint, 1991, Antwerpen). | Zbl
,Cité par Sources :