@article{ASENS_2001_4_34_1_63_0, author = {Orlik, Sascha}, title = {The cohomology of period domains for reductive groups over finite fields}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {63--77}, publisher = {Elsevier}, volume = {Ser. 4, 34}, number = {1}, year = {2001}, doi = {10.1016/s0012-9593(00)01058-2}, mrnumber = {1833090}, zbl = {1058.14032}, language = {en}, url = {http://www.numdam.org/articles/10.1016/s0012-9593(00)01058-2/} }
TY - JOUR AU - Orlik, Sascha TI - The cohomology of period domains for reductive groups over finite fields JO - Annales scientifiques de l'École Normale Supérieure PY - 2001 SP - 63 EP - 77 VL - 34 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/s0012-9593(00)01058-2/ DO - 10.1016/s0012-9593(00)01058-2 LA - en ID - ASENS_2001_4_34_1_63_0 ER -
%0 Journal Article %A Orlik, Sascha %T The cohomology of period domains for reductive groups over finite fields %J Annales scientifiques de l'École Normale Supérieure %D 2001 %P 63-77 %V 34 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/s0012-9593(00)01058-2/ %R 10.1016/s0012-9593(00)01058-2 %G en %F ASENS_2001_4_34_1_63_0
Orlik, Sascha. The cohomology of period domains for reductive groups over finite fields. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 34 (2001) no. 1, pp. 63-77. doi : 10.1016/s0012-9593(00)01058-2. http://www.numdam.org/articles/10.1016/s0012-9593(00)01058-2/
[1] Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings, Adv. in Math. 52 (1984) 173-212. | MR | Zbl
,[2] Spherical buildings and the character of the Steinberg representation, Invent. Math. 58 (1980) 201-210. | MR | Zbl
, , ,[3] Shimura varieties and twisted orbital integrals, Math. Ann. 269 (1984) 287-300. | MR | Zbl
,[4] The spherical building and regular semisimple elements, Bull. Austral. Math. Soc. 27 (1983) 361-379. | MR | Zbl
,[5] Geometric Invariant Theory, Springer-Verlag, 1965. | MR | Zbl
,[6] Kohomologie von Periodenbereichen über endlichen Körpern, Thesis, 1999. | MR
,[7] Homotopy properties of the poset of nontrivial p-subgroups of a group, Adv. in Math. 28 (1978) 101-128. | MR | Zbl
,[8] Period domains over finite and local fields, Proc. Symp. Pure Math. 62 (1997) 361-381. | MR | Zbl
,[9] Analogien zwischen den Modulräumen von Vektorbündeln und von Flaggen, Jahresber. Dtsch. Math.-Ver. 99 (4) (1997) 164-180. | MR | Zbl
,[10] Two letters to B. Totaro, April 1994.
,[11] The Steinberg character of a finite group with (B,N)-pair, in: , (Eds.), Theory of Finite Groups, W.A. Benjamin, 1969. | MR | Zbl
,[12] Tensor products in p-adic Hodge theory, Duke Math. J. 83 (1) (1996) 79-104. | MR | Zbl
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