no. 2
On actions of ℂ * on algebraic spaces
Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 359-364.

Le résultat principal de cet article est la constatation que tous les points schématiques de la source d’une action de C * sur un espace algébrique X sont schématiques sur X.

The main result of the paper says that all schematic points of the source of an action of C * on an algebraic space X are schematic on X.

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     title = {On actions of ${\mathbb {C}}^*$ on algebraic spaces},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.1335/

[B-BS] A. Bialynicki-Birula, A. Sommese, Quotients by C* and Sl(2) actions, Trans. Amer. Math. Soc., 279 (1983), 773-800. | MR | Zbl

[Ka] W. Kaup, Reele Transformationsgruppen und invariante Metriken auf komplexen Raumen, Invent. Math., 3 (1967), 43-70. | MR | Zbl

[Kn] D. Knutson, Algebraic spaces, Lecture Notes in Mathematics, 203, (1971), Springer-Verlag. | MR | Zbl

[L] D. Luna, Toute variété de Moisezon presque homogène sous un tore est un schéma, C.R. Acad. Sci. Paris, 314, Série I, (1992), 65-67. | MR | Zbl

[GIT] D. Mumford, J. Fogarty, Geometric Invariant Theory, 2nd edition, Ergeb. Math. 36, Springer-Verlag, 1982. | Zbl

[M] B.G. Moisezon, 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] J.-P. Serre, Géométrie algébrique et géométrie analytique, Ann. Inst. Fourier, 6 (1955-1956), 1-42. | Numdam | MR | Zbl

[Se2] J.-P. Serre, Espaces fibrés algébriques in Anneaux de Chow et Applications, Séminaire Chevalley, E.N.S. Paris, 1958. | Numdam

[Su] H. Sumihiro, Equivariant completions I, J. Math. Kyoto Univ., 14 (1974), 1-28. | MR | Zbl

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