The Chow rings of smooth complete SL (2)-embeddings
Compositio Mathematica, Tome 82 (1992) no. 1, pp. 67-106.
@article{CM_1992__82_1_67_0,
     author = {Moser-Jauslin, Lucy},
     title = {The {Chow} rings of smooth complete $\mathrm {SL}(2)$-embeddings},
     journal = {Compositio Mathematica},
     pages = {67--106},
     publisher = {Kluwer Academic Publishers},
     volume = {82},
     number = {1},
     year = {1992},
     mrnumber = {1154162},
     zbl = {0765.14002},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1992__82_1_67_0/}
}
TY  - JOUR
AU  - Moser-Jauslin, Lucy
TI  - The Chow rings of smooth complete $\mathrm {SL}(2)$-embeddings
JO  - Compositio Mathematica
PY  - 1992
SP  - 67
EP  - 106
VL  - 82
IS  - 1
PB  - Kluwer Academic Publishers
UR  - http://archive.numdam.org/item/CM_1992__82_1_67_0/
LA  - en
ID  - CM_1992__82_1_67_0
ER  - 
%0 Journal Article
%A Moser-Jauslin, Lucy
%T The Chow rings of smooth complete $\mathrm {SL}(2)$-embeddings
%J Compositio Mathematica
%D 1992
%P 67-106
%V 82
%N 1
%I Kluwer Academic Publishers
%U http://archive.numdam.org/item/CM_1992__82_1_67_0/
%G en
%F CM_1992__82_1_67_0
Moser-Jauslin, Lucy. The Chow rings of smooth complete $\mathrm {SL}(2)$-embeddings. Compositio Mathematica, Tome 82 (1992) no. 1, pp. 67-106. http://archive.numdam.org/item/CM_1992__82_1_67_0/

[Beau] A. Beauville, Surfaces Algébriques Complexes, Soc. Math. de France, (Astérisques 54) Paris, 1978. | Numdam | MR | Zbl

[BB] A. Bialynicki-Birula, Some properties of the decomposition of algebraic varieties determined by actions of a torus, Bull Acad. Polon. Sci. 24 No. 9 (1974), 667-674. | MR | Zbl

[Bor] A. Borel, Les bouts des espaces homogènes de groupes de Lie, Ann. Math. 58 (1953), 443-457. | MR | Zbl

[Dan] V.I. Danilov, The geometry of toric varieties, Russian Math. Surveys 33 (1978), 97-154. | MR | Zbl

[E-F] F. Enriques and G. Fano, Sui gruppi di trasformazioni cremoniane dello spazio, Annali di Matematica pura id applicata s. 2a, t. 15 (1897), 59-98. | JFM

[Ful] W. Fulton, Intersection Theory, Springer-Verlag, 1984. | MR | Zbl

[G-H] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978. | MR | Zbl

[Har] R. Hartshorne, Ample subvarieties of algebraic varieties, Springer-Verlag Lecture Notes 156, 1970. | MR | Zbl

[Hir] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer-Verlag, 1978. | MR | Zbl

[Jur1] J. Jurkiewicz, Chow rings of projective non-singular torus embeddings, Colloq. Math. 43 No. 2 (1980), 261-270. | MR | Zbl

[Jur 2] J. Jurkiewicz, Torus embeddings, polyhedera, k*-actions and homology, Dissertationes Mathematicae 236, Warsaw (1985). | MR | Zbl

[KKMS] G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat, Toroidal Embeddings I, Springer-Verlag Lecture Notes 339, 1974. | MR | Zbl

[Kle] S.L. Kleiman, Toward a numerical theory of ampleness, Ann. of Math. 84 (1966) 293-344. | MR | Zbl

[Kod] K. Kodaira, On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties), Ann. of Math. 60 (1954) 28-48. | MR | Zbl

[Kr] H. Kraft, Geometrische Methoden in der Invariantentheorie, Vieweg und Sohn, Braunschweig, 1985. | MR | Zbl

[LMJV] D. Luna, L. Moser-Jauslin and Th. Vust, Almost homogeneous Artin-Moišezon varieties under the action of PSL 2(C), Proc. of "Topological Methods in Algebraic Groups", Birkhäuser, Progress in Mathematics 80, (1989), 107-116. | MR | Zbl

[LV] D. Luna And Th. Vust, Plongements d'espaces homogènes, Comment. Math. Helv. 58 (1983), 186-245. | MR | Zbl

[Moi] B.G. Moišezon, A criterion for projectivity of complete algebraic abstract varieties, Amer. Math. Soc. Translations, ser. 2, 63 (1967). | Zbl

[Mor] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982), 133-176. | MR | Zbl

[MJ 1] L. Moser-Jauslin, Normal SL(2)/Γ-Embeddings, Thesis, Univ. of Geneva (1987).

[MJ2] L. Moser-Jauslin, Some almost homogeneous group actions on smooth complete rational surfaces, L'Enseignement Mathématique 34, (1988), 313-332. | MR | Zbl

[MJ3] L. Moser-Jauslin, Smooth Embeddings of SL(2) and PGL(2), J. of Alg., 132, No. 2 (1990), 384-405. | MR | Zbl

[M-U] S. Mukai, H. Umemura, Minimal rational threefolds, in Springer-Verlag Lecture Notes 1016 (1983), 490-518. | MR | Zbl

[Nak] T. Nakano, On equivariant completions of three-dimensional homogeneous spaces of SL(2, C), to appear in Jap. J. of Math. | Zbl

[Oda] T. Oda, Convex bodies and algebraic geometry: an introduction to the theory of toric varieties, Springer-Verlag, 1985. | MR | Zbl

[Reid] M. Reid, Decomposition of toric morphisms, from Arithmetic and Geometry, Papers dedicated to Shafarevich on his 60th birthday, Birkhäuser (1983), 395-418. | MR | Zbl

[Saf] I.R. Šafarevič, Algebraic Surfaces, Proc. of the Steklov Institute of Math. 75, 1965. | MR