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Литература
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| 1. |
V. Alexeev, V. V. Nikulin, Del Pezzo and $K3$ surfaces, Mathematical Society of Japan Memoirs, 15, 2006 |
| 2. |
R. de la Bretèche, T. D. Browning, “On Manin's conjecture for singular del Pezzo surfaces of degree 4. I”, Michigan Math. J., 55:1 (2007), 51–80 |
| 3. |
R. de la Bretèche, T. D. Browning, Manin's conjecture for quartic del Pezzo surfaces with a conic fibration, With an appendix by U. Derenthal, 2008, arXiv: 0808.1616 |
| 4. |
R. de la Bretèche, T. D. Browning, U. Derenthal, “On Manin's conjecture for a certain singular cubic surface”, Ann. Sci. École Norm. Sup. (4), 40:1 (2007), 1–50 |
| 5. |
R. de la Bretéche, T. D. Browning, E. Peyre, On Manin's conjecture for a family of Châtelet surface, 2010, arXiv: 1002.0255 |
| 6. |
T. D. Browning, U. Derenthal, “Manin's conjecture for a cubic surface with $D_5$ singularity”, Int. Math. Res. Notes, 14 (2009), 2620–2647 |
| 7. |
T. D. Browning, U. Derenthal, “Manin's conjecture for a quartic del Pezzo surface with $A_4$ singularity”, Ann. Inst. Fourier (Grenoble), 59:3 (2009), 1231–1265 |
| 8. |
R. de la Bretéche, É. Fouvry, “L'éclaté du plan projectif en quatre points dont deux conjugués”, J. reine angew. Math., 576 (2004), 63–122 |
| 9. |
P. Le Boudec, Manin's conjecture for two quartic del Pezzo surfaces with $3A_1$ and $A_1+A_2$ singularity types, 2010, arXiv: 1006.0691 |
| 10. |
R. de la Bretéche, “Sur le nombre de points de hauteur bornée d'une certaine surface cubique singulière”, Astésque, 251 (1998), 51–77 |
| 11. |
R. de la Bretèche, “Nombre de points de hauteur bornée sur les surfaces de del Pezzo de degré 5”, Duke Math. J., 113:2 (2002), 421–464 |
| 12. |
V. V. Batyrev, Yu. Tschinkel, “Manin's conjecture for toric varieties”, J. Algebraic Geom., 7:1 (1998), 15–53 |
| 13. |
J. W. Bruce, C. T. C. Wall, “On the classification of cubic surfaces”, J. London Math. Soc. (2), 19:2 (1979), 245–256 |
| 14. |
A. Chambert-Loir, Yu. Tschinkel, “On the distribution of points of bounded height on equivariant compatifications of vector groups”, Invent. Math., 148:2 (2002), 421–452 |
| 15. |
D. F. Coray, M. A. Tsfasman, “Arithmetic on singular Del Pezzo surfaces”, Proc. London Math. Soc. (3), 57:1 (1988), 25–87 |
| 16. |
U. Derenthal, forthcoming |
| 17. |
U. Derenthal, Singular del Pezzo surfaces whose universal torsors are hypersurfaces, 2006, arXiv: math/0604194[math.AG] |
| 18. |
U. Derenthal, Manin's conjecture for a quintic del Pezzo surface with $\mathbf A_2$ singularity, 2007, arXiv: 0710.1583 |
| 19. |
U. Derenthal, “Counting integral points on universal torsors”, Int. Math. Res. Notes, 14 (2009), 2648–2699 |
| 20. |
U. Derenthal, M. Joyce, Z. Teitler, “The nef cone volume of generalized del Pezzo surfaces”, Algebra Number Theory, 2:2 (2008), 157–182 |
| 21. |
M. Demazure, H. C. Pinkham (eds), Séminaire sur les Singularités des Surfaces, Lect. Notes Math., 777, 1980 |
| 22. |
U. Derenthal, Yu. Tshinkel, “Universal torsors over del Pezzo surfaces and rational points”, Equidistribution in Number Theory, an Introductio, NATO Sci. Ser. II Math. Phys. Chem., 237, Springer, Dordrecht, 2007, 169–196 |
| 23. |
J. Franke, Yu. I. Manin, Yu. Tschinkel, “Rational points of bounded height on Fano varieties”, Invent. Math., 95:2 (1989), 421–435 |
| 24. |
É. Fouvry, “Sur la hauteur des points d'une certaine surface cubique singulière”, Astérisque, 251 (1998), 31–49 |
| 25. |
R. Hartshorne, Algebraic Geometry, Graduate Texts in Mathematics, 52, Springer-Verlag, New York, 1977 |
| 26. |
D. R. Heath-Brown, B. Z. Moroz, “The density of rational points on the cubic surface $X^3_0=X_1X_2X_3$”, Math. Proc. Cambridge Philos. Soc., 125:3 (1999), 385–395 |
| 27. |
B. Hassett, Yu. Tschinkel, “Geometry of equivariant compactifications of $\mathbf G^n_a$”, Internat. Math. Res. Notices, 22 (1999), 1211–1230 |
| 28. |
B. Hassett, Yu. Tschinkel, “Universal torsors and Cox rings”, Arithmetic of Higher-Dimensional Algebraic Varieties (Palo Alto, CA, 2002), Progr. Math., 226, Birkhäuser Boston, 2004, 149–173 |
| 29. |
D. T. Loughran, “Manin's conjecture for a singular sextic del Pezzo surface”, J. Théor. Nombres Bordeaux (to appear) |
| 30. |
Y. Sakamaki, “Automorphism groups on normal singular cubic surfaces with no parameters”, Trans. Amer. Math. Soc., 362:5 (2010), 2641–2666 |
| 31. |
P. Salberger, “Tamagawa measures on universal torsors and points of bounded height on Fano varieties”, Astérisque, 251 (1998), 91–258 |
| 32. |
Q. Ye, “On Gorenstein log del Pezzo surfaces”, Japan. J. Math. (N.S.), 28:1 (2002), 87–136 |