V. Victor and . Batyrev, On the classification of smooth projective toric varieties, Tohôku Math. J, vol.43, issue.24, pp.569-585, 1991.

V. Victor, D. A. Batyrev, and . Cox, On the Hodge structure of projective hypersurfaces in toric varieties, Duke Math. J, vol.75, issue.2, pp.293-338, 1994.

D. [. Batyrev, Mel'nikov. A theorem on non-extensibility of toric varieties, Mosc. Univ. Math. Bull, vol.41, issue.3, pp.23-27, 1986.

V. V. Batyrev and Y. I. Manin, Sur le nombre des points rationnels de hauteur born?? des vari??t??s alg??briques, Mathematische Annalen, vol.100, issue.1-3, pp.27-43, 1990.
DOI : 10.2307/1971073

A. Broustet, Constantes de Seshadri du diviseur anticanonique des surfaces de del Pezzo, Enseign. Math, vol.52, issue.23-4, pp.231-238, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00016813

T. D. Browning, Quantitative arithmetic of projective varieties, Basel : Birkhäuser, 2009.
DOI : 10.1007/978-3-0346-0129-0

T. Browning, The divisor problem for binary cubic forms, Journal de Th??orie des Nombres de Bordeaux, vol.23, issue.3, pp.579-602, 2011.
DOI : 10.5802/jtnb.778

URL : http://jtnb.cedram.org/cedram-bin/article/JTNB_2011__23_3_579_0.pdf

V. Victor, Y. Batyrev, and . Tschinkel, Rational points of bounded height on compactifications of anisotropic tori, Int. Math. Res. Not, issue.12, pp.591-635, 1995.

V. Victor, Y. Batyrev, and . Tschinkel, Manin's conjecture for toric varieties, J. Algebr. Geom, vol.7, issue.1, pp.15-53, 1998.

Y. Bugeaud, Approximation by algebraic numbers, 2004.
DOI : 10.1017/cbo9780511542886

URL : https://hal.archives-ouvertes.fr/hal-00093387

J. W. Cassels, An introduction to the geometry of numbers, 1997.
DOI : 10.1007/978-3-642-62035-5

Y. Chen, B. Fu, and J. Hwang, Minimal Rational Curves on Complete Toric Manifolds and Applications, Proc. Edinb, pp.111-123, 2014.
DOI : 10.2748/tmj/1178207820

G. V. Chudnovsky, On the Method of Thue-Siegel: Dedicated to the Memory of Carl Ludwig Siegel, The Annals of Mathematics, vol.117, issue.2, pp.325-382, 1983.
DOI : 10.2307/2007080

D. A. Cox, J. B. Little, and H. K. Schenck, Toric varieties, Graduate Studies in Mathematics, vol.124, 2011.
DOI : 10.1090/gsm/124

A. David and . Cox, The functor of a smooth toric variety, Tôhoku Math. J, vol.47, issue.22, pp.251-262, 1995.

A. David and . Cox, The homogeneous coordinate ring of a toric variety, J. Algebr. Geom, vol.4, issue.1, pp.17-50, 1995.

J. Colliot-thélène, J. Sansucdb10, ]. R. De-la-bretèche, T. D. Browningdb11-]-r.-de-la-bretèche, and T. D. Browning, La descente sur les variétés rationnelles Le problème des diviseurs pour des formes binaires de degré 4 Manin's conjecture for quartic del Pezzo surfaces with a conic fibration, II. Duke Math. J. J. Reine Angew. Math. Duke Math. J, vol.54, issue.1601, pp.375-4921, 1987.

W. Fulton, Introduction to toric varieties, Annals of Mathematics Studies, vol.131, 1993.
DOI : 10.1515/9781400882526

D. R. Heath-brown, Diophantine approximation with square-free numbers, Mathematische Zeitschrift, vol.36, issue.3, pp.335-344, 1984.
DOI : 10.1007/BF01161951

A. Ito, Seshadri constants via toric degenerations, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2014, issue.695, pp.151-174, 2014.
DOI : 10.1515/crelle-2012-0116

K. Jaczewski, Generalized Euler sequence and toric varieties In Classification of algebraic varieties Algebraic geometry conference on classification of algebraic varieties, pp.227-247, 1992.

]. A. Khi64, . Ya, and . Khinchin, Continued fractions. Chicago and London, 1964.

P. Kleinschmidt, A classification of toric varieties with few generators, Aequationes Mathematicae, vol.24, issue.2-3, pp.254-266, 1988.
DOI : 10.1007/BF01830946

L. Kuipers and H. Niederreiter, Uniform distribution of sequences. Pure and Applied Mathematics, 1974.

J. Kollár, Rational curves on algebraic varieties, volume 32 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 1996.

S. Lang, Asymptotic Approximations to Quadratic Irrationalities, I, American Journal of Mathematics, vol.87, issue.2, pp.481-487, 1965.
DOI : 10.2307/2373015

]. Lej56 and . Lejeune-dirichlet, Sur une propriété des formes quadratiques à déterminant positif, Journal de Mathématiques Pures et Appliquées. Paris, vol.1, pp.76-79, 1856.

R. Lazarsfeld and M. Musta??, Convex bodies associated to linear series, Annales scientifiques de l'??cole normale sup??rieure, vol.42, issue.5, pp.783-835, 2009.
DOI : 10.24033/asens.2109

B. Lehmann and S. , On the geometry of thin exceptional sets in Manin's Conjecture. À paraître dans Duke Math, J, 2016.

B. Lehmann, S. Tanimoto, and Y. Tschinkel, Abstract, paraître dans Journal für die reine und angewandte Mathematik (Crelles Journal, p.2015
DOI : 10.2307/2373050

D. Mckinnon, A conjecture on rational approximations to rational points, Journal of Algebraic Geometry, vol.16, issue.2, pp.257-303, 2007.
DOI : 10.1090/S1056-3911-06-00458-9

T. Mignot, Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques, Acta Arith, vol.172, issue.1, pp.1-97, 2016.
DOI : 10.1142/s1793042115500529

URL : http://arxiv.org/pdf/1403.6975

D. Mckinnon and M. Roth, Seshadri constants, diophantine approximation, and Roth???s theorem for arbitrary varieties, Inventiones mathematicae, vol.7, issue.6, pp.513-583, 2015.
DOI : 10.1007/BFb0072989

D. Mckinnon and M. Roth, An analogue of Liouville???s Theorem and an application to cubic surfaces, European Journal of Mathematics, vol.200, issue.2, pp.929-959, 2016.
DOI : 10.1007/BFb0072989

S. Pagelot, Étude de la distribution asymptotique fine des points rationnels de hauteur bornée. Manuscrit non-publié, 2008.

E. Peyre, Fano, Duke Mathematical Journal, vol.79, issue.1, pp.101-218, 1995.
DOI : 10.1215/S0012-7094-95-07904-6

E. Peyre, Terme principal de la fonction zêta des hauteurs et torseurs universels, Nombre et répartition de points de hauteur bornée, pp.259-298, 1998.
DOI : 10.1007/978-3-0348-8368-9_9

E. Peyre, Points de hauteur born??e, topologie ad??lique et mesures de Tamagawa, Journal de Th??orie des Nombres de Bordeaux, vol.15, issue.1, pp.319-349, 2003.
DOI : 10.5802/jtnb.405

E. Peyre, Liberté et accumulation, 2014.

[. Salberger, Tamagawa measures on universal torsors and points of bounded height on Fano varieties, Nombre et répartition de points de hauteur bornée, pp.91-258, 1998.

P. Samuel, Théorie algébrique des nombres. (Deuxième et troisième cycles), 2003.

J. Serre, Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt, 1997.
DOI : 10.1007/978-3-663-10632-6

G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, 1995.

P. Vojta, Diophantine approximations and value distribution theory Berlin etc, Lecture Notes in Mathematics, 1239.
DOI : 10.1007/bfb0072989