@article{CM_1996__104_1_1_0, author = {Bien, Fr\'ed\'eric and Brion, Michel}, title = {Automorphisms and local rigidity of regular varieties}, journal = {Compositio Mathematica}, pages = {1--26}, publisher = {Kluwer Academic Publishers}, volume = {104}, number = {1}, year = {1996}, mrnumber = {1420707}, zbl = {0910.14004}, language = {en}, url = {http://archive.numdam.org/item/CM_1996__104_1_1_0/} }
TY - JOUR AU - Bien, Frédéric AU - Brion, Michel TI - Automorphisms and local rigidity of regular varieties JO - Compositio Mathematica PY - 1996 SP - 1 EP - 26 VL - 104 IS - 1 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1996__104_1_1_0/ LA - en ID - CM_1996__104_1_1_0 ER -
Bien, Frédéric; Brion, Michel. Automorphisms and local rigidity of regular varieties. Compositio Mathematica, Tome 104 (1996) no. 1, pp. 1-26. http://archive.numdam.org/item/CM_1996__104_1_1_0/
[A1] Equivariant completions of homogeneous varieties by homogeneous divisors, Ann. Glob. Analysis and Geometry 1 (1983) 49-78. | MR | Zbl
:[A2] On the homogeneity of two-orbit varieties with respect to the full automorphism group (in Russian), vopr. Teor. Grupp. Gomologischskoj Algebry 8 (1988) 141-154. | Zbl
:[BK] Flat projective connections, Preprint 1991.
and :[Bien] D-modules and spherical representations, Math. Notes, Vol. 39, Princeton Univ. Press 1990. | MR | Zbl
:[BDP] Cohomology of regular embeddings, Adv. in Math. 82 (1990) 1-34. | MR | Zbl
, , and :[Bin] Lokale Modulräume in der analytischen Geometrie, Band 2, Friedr. Vieweg and Sohn, Braunschweig 1987. | MR | Zbl
:[BH] Characteristic classes and homogeneous spaces, I, Am. J. Math. 80 (1958) 458-538. | MR | Zbl
and :[Bott] Homogeneous vector bundles, Ann. Math. 66 (1957) 203-248. | MR | Zbl
:[B1] Groupe de Picard et nombres caractéristiques des variétés sphériques, Duke Math. Journal 58 (1989) 397-424. | MR | Zbl
:[B2] Une extension du théorème de Borel-Weil, Math. Ann. 286 (1990) 655-660. | MR | Zbl
:[BLV] Espaces homogènes sphériques, Invent. Math. 84 (1986) 617-632. | MR | Zbl
, , and :[BP] Valuations des espaces homogènes sphériques, Comment. Math. Helv. 62 (1987) 265-285. | MR | Zbl
and :[Bro] On the subregular nilpotent variety, Invent. Math. 113 (1993) 1-20. | MR | Zbl
:[Bry] Limits of weight spaces, Lusztig's q-analogs, and fiberings of adjoint orbits, Jour. A.M.S. 2 (1989) 517-533. | MR | Zbl
:[Dan] The geometry of toric varieties, Russian Math. Surveys 33:2 (1978) 97-154. | MR | Zbl
:[Gin] Admissible modules on a symmetric space, Astérisque 173-174 (1989) 199-255. | MR | Zbl
:[K1] Weylgruppe und Momentabbildung, Invent. Math. 99 (1990) 1-23. | MR | Zbl
:[K2] The Luna-Vust theory of spherical varieties, in: Manoj Prakashan, Proceedings of the Hyderabad conference on algebraic groups, 225-250; Madras 1991. | MR | Zbl
:[K3] A Harish-Chandra homomorphism for reductive group actions, Ann. of Math. 140 (1994) 253-288. | MR | Zbl
:[KMM] Introduction to the minimal model problem, Adv. Stud. Pure Math. 10 (1987) Algebraic Geometry, Sendai 1985, 283-360. | MR | Zbl
, , and :[KKMS] Toroidal Embeddings I, Lect. Notes Math. 339 Springer-Verlag 1973. | MR | Zbl
, , , and :[MO] Representability of group functors, and automorphisms of algebraic schemes, Invent. Math. 4 (1967) 1-25. | MR | Zbl
and :[MK] Complex Manifolds, Holt, Rinehart and Winston 1971. | MR | Zbl
and :[Oda] Convex bodies and algebraic geometry, Ergebnisse der Math. 15, Springer-Verlag 1988. | MR | Zbl
:[Ram] A note on automorphism groups of algebraic varieties, Math. Ann. 156 (1964) 25-33. | MR | Zbl
:[Sch] Some remarks on vanishing theorems for holomorphic vector bundles, Math. Zeit. 186 (1984) 135-142. | MR | Zbl
:[Vie] Vanishing theorems, J. Reine Angew. Math. 335 (1982) 1-8. | MR | Zbl
: