K. Altmann and J. Hausen, Polyhedral divisors and algebraic torus actions, Mathematische Annalen, vol.334, issue.3, pp.557-607, 2006.
DOI : 10.1007/s00208-005-0705-8

URL : http://arxiv.org/abs/math/0306285

J. [. Altmann, H. Hausen, and . Suess, Gluing Affine Torus Actions Via Divisorial Fans, Transformation Groups, vol.14, issue.64, pp.215-242, 2008.
DOI : 10.1007/s00031-008-9011-3

URL : http://arxiv.org/abs/math/0606772

N. [. Altmann, L. Ilten, H. Petersen, R. Suess, and . Vollmert, The geometry of T-varieties
DOI : 10.4171/114-1/2

I. Arzhantsev, Actions of the group SL 2 that are of complexity one

I. Arzhantsev and O. Chuvashova, Classification of affine homogeneous spaces of complexity one, Matematicheskii Sbornik, vol.195, issue.6, pp.3-20, 2004.
DOI : 10.4213/sm819

A. [. Batyrev and . Moreau, Abstract, Compositio Mathematica, vol.10, issue.08, pp.1327-1352, 2013.
DOI : 10.1007/978-3-642-18399-7

]. M. Bri89 and . Brion, Groupe de Picard et nombre charactéristiques des variétés sphériques. Duke Math, J, vol.58, issue.2, pp.397-424, 1989.

M. Brion, Sur la g??om??trie des vari??t??s sph??riques, Commentarii Mathematici Helvetici, vol.66, issue.1, pp.237-262, 1991.
DOI : 10.1007/BF02566646

M. Brion, Variétés sphériques et théorie de Mori. Duke Math, J, vol.72, issue.2, pp.369-404, 1993.
DOI : 10.1215/s0012-7094-93-07213-4

M. [. Flenner and . Zaidenberg, Normal affine surfaces with C ? -actions, Osaka J. Math, vol.40, issue.4, pp.981-1009, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00323532

. Ega-iv-]-a and . Grothendieck, Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas IV, Inst. Hautes Études Sci. Publ. Math. No, vol.32, 1967.

]. R. Har77 and . Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, issue.52, 1977.

M. Huruguen, Toric varieties and spherical embeddings over an arbitrary field, Journal of Algebra, vol.342, issue.1, pp.212-234, 2011.
DOI : 10.1016/j.jalgebra.2011.05.031

URL : https://hal.archives-ouvertes.fr/hal-00438195

J. C. Jantzen, Representations of algebraic groups, Pure and Applied Mathematics, vol.107, 1987.
DOI : 10.1090/surv/107

F. Knop, Weylgruppe und Momentabbildung, Inventiones Mathematicae, vol.20, issue.1, pp.99-100, 1990.
DOI : 10.1007/BF01234409

]. F. Kno91 and . Knop, The Luna?Vust theory of spherical embeddings, Proceedings of the Hyderabad Conference on Algebraic Groups, pp.225-249, 1989.

]. F. Kno93 and . Knop, Über Bewertungen, welche unter einer reduktiven Gruppe invariant sind

]. F. Kno94 and . Knop, The asymptotic behavior of invariant collective motion, Invent. Math, vol.116, issue.1-3, pp.309-328, 1994.

J. Kollàr, Singularities of pairs. Algebraic geometry?Santa Cruz, pp.221-287, 1995.

K. Langlois, Polyhedral divisors and torus actions of complexity one over arbitrary fields, Journal of Pure and Applied Algebra, vol.219, issue.6
DOI : 10.1016/j.jpaa.2014.07.021

URL : https://hal.archives-ouvertes.fr/hal-00713400

A. Liendo and H. Suess, Normal singularities with torus actions, Tohoku Mathematical Journal, vol.65, issue.1, pp.65-105, 2013.
DOI : 10.2748/tmj/1365452628

URL : https://hal.archives-ouvertes.fr/hal-00483304

]. A. Ls13b, H. Liendo, and . Suess, Normal singularities with torus actions

D. Luna, Slices ??tales, Mémoires de la Société mathématique de France, vol.1, pp.81-105, 1973.
DOI : 10.24033/msmf.110

. [. Luna, . Th, and . Vust, Plongements d???espaces homog??nes, Commentarii Mathematici Helvetici, vol.58, issue.1, pp.186-245, 1983.
DOI : 10.1007/BF02564633

L. Moser-jauslin, The Chow rings of smooth complete SL(2)-embeddings, Compositio Math, vol.82, issue.1, pp.67-106, 1992.

D. I. Panyushev, Complexity of quasiaffine homogeneous varieties, t?decompositions, and affine homogeneous spaces of complexity 1. Lie groups, their discrete subgroups, and invariant theory, Adv. Sov. Math, vol.8, pp.151-166, 1992.

B. Pasquier, Vari??t??s horosph??riques de Fano, Thèse de doctorat, 2006.
DOI : 10.24033/bsmf.2554

]. B. Pas08 and . Pasquier, Variétés horosphériques de Fano, Bull. Soc. Math. France, vol.136, issue.2, pp.195-225, 2008.

F. Pauer, Normale Einbettungen vonG/U, Mathematische Annalen, vol.33, issue.3, pp.371-396, 1981.
DOI : 10.1007/BF01456507

F. Pauer and G. Glatte-einbettungen-von, Glatte Einbettungen vonG/U, Mathematische Annalen, vol.7, issue.3, pp.421-429, 1983.
DOI : 10.1007/BF01456019

N. Perrin, ON THE GEOMETRY OF SPHERICAL VARIETIES, Transformation Groups, vol.102, issue.1, pp.171-223, 2014.
DOI : 10.1007/s00031-014-9254-0

H. [. Petersen and . Suess, Torus invariant divisors, Israel Journal of Mathematics, vol.5, issue.1, pp.481-504, 2011.
DOI : 10.1007/s11856-011-0039-z

URL : http://arxiv.org/abs/0811.0517

G. Pezzini, Lectures on spherical and wonderful varieties. Les cours du C.I.R.M. Actions hamiltoniennes: invariants et classifications, pp.33-53, 2010.
DOI : 10.5802/ccirm.3

E. [. Popov and . Vinberg, On a class of quasihomogeneous affine varieties, Math. URSS-Izv, vol.6, issue.4, pp.743-758, 1972.

]. V. Pop73 and . Popov, Quasihomogeneous affine algebraic varieties of the group SL

T. A. Springer, Linear algebraic groups, 1998.

M. Strauch and Y. , Height zeta functions of toric bundles over flag varieties, Selecta Mathematica, vol.5, issue.3, pp.325-396, 1999.
DOI : 10.1007/s000290050051

H. Sumihiro, Equivariant completion, Journal of Mathematics of Kyoto University, vol.14, issue.1, pp.1-28, 1974.
DOI : 10.1215/kjm/1250523277

]. D. Tim97 and . Timashëv, Classification of G-manifolds of complexity 1. (Russian) Izv

]. D. Tim00 and . Timashëv, Cartier divisors and geometry of normal G-varieties, Transform. Groups, vol.5, issue.2, pp.181-204, 2000.

D. A. Timashëv, Torus actions of complexity one, Contemp. Math, vol.460, pp.349-364, 2008.
DOI : 10.1090/conm/460/09029

D. A. Timashëv, Homogeneous spaces and equivariant embeddings. Encyclopaedia of Mathematical Sciences, 138. Invariant Theory and Algebraic Transformation Groups, 2011.

E. B. Vinberg, Complexity of actions of reductive groups. (Russian) Funktsional. Anal. i Prilozhen, pp.1-13, 1986.

B. Wargane, Détermination des valuations invariantes de SL(3)T, 1982.