The main result of the paper says that all schematic points of the source of an action of on an algebraic space are schematic on .
Le résultat principal de cet article est la constatation que tous les points schématiques de la source d’une action de sur un espace algébrique sont schématiques sur .
@article{AIF_1993__43_2_359_0,
author = {Bialynicki-Birula, Andrzej},
title = {On actions of ${\mathbb {C}}^*$ on algebraic spaces},
journal = {Annales de l'Institut Fourier},
pages = {359--364},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {43},
number = {2},
year = {1993},
doi = {10.5802/aif.1335},
zbl = {0779.14014},
mrnumber = {94c:14040},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1335/}
}
TY - JOUR
AU - Bialynicki-Birula, Andrzej
TI - On actions of ${\mathbb {C}}^*$ on algebraic spaces
JO - Annales de l'Institut Fourier
PY - 1993
SP - 359
EP - 364
VL - 43
IS - 2
PB - Institut Fourier
PP - Grenoble
UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1335/
DO - 10.5802/aif.1335
LA - en
ID - AIF_1993__43_2_359_0
ER -
%0 Journal Article
%A Bialynicki-Birula, Andrzej
%T On actions of ${\mathbb {C}}^*$ on algebraic spaces
%J Annales de l'Institut Fourier
%D 1993
%P 359-364
%V 43
%N 2
%I Institut Fourier
%C Grenoble
%U https://aif.centre-mersenne.org/articles/10.5802/aif.1335/
%R 10.5802/aif.1335
%G en
%F AIF_1993__43_2_359_0
Bialynicki-Birula, Andrzej. On actions of ${\mathbb {C}}^*$ on algebraic spaces. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 359-364. doi: 10.5802/aif.1335
[B-BS] , , Quotients by C* and Sl(2) actions, Trans. Amer. Math. Soc., 279 (1983), 773-800. | Zbl | MR
[Ka] , Reele Transformationsgruppen und invariante Metriken auf komplexen Raumen, Invent. Math., 3 (1967), 43-70. | Zbl | MR
[Kn] , Algebraic spaces, Lecture Notes in Mathematics, 203, (1971), Springer-Verlag. | Zbl | MR
[L] , Toute variété de Moisezon presque homogène sous un tore est un schéma, C.R. Acad. Sci. Paris, 314, Série I, (1992), 65-67. | Zbl | MR
[GIT] , , Geometric Invariant Theory, 2nd edition, Ergeb. Math. 36, Springer-Verlag, 1982. | Zbl
[M] , Resolution theorems for compact complex spaces with a sufficiently large field of meromorphic functions, Izv. Akad. Nauk SSSR, Ser. Mat., 31 (1967), 1385. | Zbl
[Se1] , Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier, 6 (1955-1956), 1-42. | Zbl | MR | Numdam
[Se2] , Espaces fibrés algébriques in Anneaux de Chow et Applications, Séminaire Chevalley, E.N.S. Paris, 1958. | Numdam
[Su] , Equivariant completions I, J. Math. Kyoto Univ., 14 (1974), 1-28. | Zbl | MR
Cité par Sources :



