@article{ASNSP_1990_4_17_2_165_0, author = {Vust, Thierry}, title = {Plongements d'espaces sym\'etriques alg\'ebriques : une classification}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {165--195}, publisher = {Scuola normale superiore}, volume = {4e s{\'e}rie, 17}, number = {2}, year = {1990}, mrnumber = {1076251}, zbl = {0728.14041}, language = {fr}, url = {http://archive.numdam.org/item/ASNSP_1990_4_17_2_165_0/} }
TY - JOUR AU - Vust, Thierry TI - Plongements d'espaces symétriques algébriques : une classification JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1990 SP - 165 EP - 195 VL - 17 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1990_4_17_2_165_0/ LA - fr ID - ASNSP_1990_4_17_2_165_0 ER -
%0 Journal Article %A Vust, Thierry %T Plongements d'espaces symétriques algébriques : une classification %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1990 %P 165-195 %V 17 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1990_4_17_2_165_0/ %G fr %F ASNSP_1990_4_17_2_165_0
Vust, Thierry. Plongements d'espaces symétriques algébriques : une classification. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 17 (1990) no. 2, pp. 165-195. http://archive.numdam.org/item/ASNSP_1990_4_17_2_165_0/
[BHM] G. MOSTOW, Extensions of representations of algebraic linear groups, Amer. J. Math. 85 (1963), 131-144. | MR | Zbl
- -[Br] Quelques propriétés des espaces homogènes sphériques, Prépublication de l'Institut Fourier, 24 (1985). | MR
,[BLV] TH. VUST, Espaces homogènes sphériques, Invent. Math. 84 (1986), 617-632. | MR | Zbl
- -[D] The geometry of toric varieties, Russian Math. Surveys 33 (1978), 97-154. | MR | Zbl
,[DGMP] On the geometry of quadrics and their degenerations, Preprint.
- - - ,[DS] Differential geometry, Lie groups and symmetric spaces, Academic Press (1978). | MR | Zbl
,[DSp] Betti numbers of complete symmetric varieties, In Geometry today, Int. conf. Roma (1984), Prog. Math. 60 (1985), 87-104. | MR | Zbl
- ,[DP]Complete symmetric varieties, In Invariant theory, Proceedings, Montecatini, 1982, Springer LN 996 (1983), 1-44. | MR | Zbl
- ,[DP]II Complete symmetric varieties II, In Algebraic groups and related topics, Proc. Symp. Kyoto and Nagoya 1983, Adv. Stud. Pure Math. 6 (1985), 481-513. | Zbl
- ,[DP]III Cohomology of compactifications of algebraic groups, Duke Math. J. 53 3 (1986), 585-594. | MR | Zbl
- ,[DP]IV Cohomology of complete algebraic groups and Hilbert's 15th problem, Preprint.
- ,[GGA] Groups and geometric analysis, Academic Press (1984). | MR | Zbl
,[Ko] Lie group representations on polynomial rings, Amer. J. Math. 85 (1963), 327-404. | MR | Zbl
,[Lo] Symmetric spaces, Vol. I, II. Benjamin (1969). | Zbl
,[Lu] Adhérences d'orbite et invariants, Invent. Math. 29 (1975), 231-238. | MR | Zbl
,[LV] Plongements d'espaces homogènes, Comment. Math. Helv. 58 (1983), 186-245. | MR | Zbl
- ,[M] The orbits of affine symmetric spaces under the action of minimal parabolic subgroups, J. Math. Soc. Japan 31 (1979), 332-357. | MR | Zbl
,[P] Picard groups of homogeneous spaces of linear algebraic groups and one dimensional homogeneous vector bundles, Math. USSR-Izv. 8 (1974), 301-327. | Zbl
,[R] Orbits, invariants and representations associated to involutions of reductives groups, Invent. Math. 66 (1982), 287-312. | MR | Zbl
,[Sa] On representations and compactifications of symmetric riemannian spaces, Ann. of Math. 71 (1960), 77-110. | MR | Zbl
,[Sp] Some results on algebraics groups with involutions, In Algebraic groups and related topics, Proc. Symp. Kyoto and Nagoya 1983, Adv. Stud. Pure Math. 6 (1985), 525-543. | MR | Zbl
,[St] Endomorphisms of linear algebraic groups, Memoirs of the AMS 80 (1980). | Zbl
,[Su] Equivariant completion, J. Math. Kyoto Univ. 14 (1974) 1-28. | MR | Zbl
,[TE] Toroidal embeddings, Springer LN 339 (1973). | Zbl
et al.,[Uz] On equivariant completion of algebraic symmetric spaces, In Algebraic and topological theories - to the memory of Dr. T. Miyata (1985), 569-577. | MR | Zbl
,[Vi] Complexity of action of reductive groups, Functional Anal. Appl. 20 (1986), 1-11. | MR | Zbl
,[VP] On a class of quasihomogeneous affine varieties, Math. USSR-Izv. 6 (1972) 4, 743-758. | Zbl
- ,[Vo] Picard groups of linear algebraic groups, Studies in Number theory 3, Izdat. Saratov Univ., Saratov (1969), 7-16. | MR | Zbl
,[Vr] Elementary spherical functions on symmetric spaces, Math. Scand. 39 (1976), 343-358. | MR | Zbl
,[V] Opération de groupes réductifs dans un type de cônes presque homogènes, Bull. Soc. Math. France 102 (1974), 317-334. | Numdam | MR | Zbl
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