|
|
|
|
Список литературы
|
|
| |
| 1. |
Amerik E., “On an automorphism of $\mathrm {Hilb}^{[2]}$ of certain K3 surfaces”, Proc. Edinburgh Math. Soc. Ser. 2, 54:1 (2011), 1–7   |
| 2. |
Amerik E., Bogomolov F., Rovinsky M., “Remarks on endomorphisms and rational points”, Compos. math., 147:6 (2011), 1819–1842 |
| 3. |
Amerik E., Campana F., “Fibrations méromorphes sur certaines variétés à fibré canonique trivial”, Pure Appl. Math. Q., 4:2 (2008), 509–545 |
| 4. |
Amerik E., Verbitsky M., “MBM classes and contraction loci on low-dimensional hyperkähler manifolds of $\mathrm K3^{[n]}$ type”, Algebr. Geom., 9:3 (2022), 252–265 |
| 5. |
Amerik E., Voisin C., “Potential density of rational points on the variety of lines of a cubic fourfold”, Duke Math. J., 145:2 (2008), 379–408 |
| 6. |
Barth W.P., Hulek K., Peters C.A.M., Van de Ven A., Compact complex surfaces, Ergeb. Math. Grenzgeb. 3. Folge, 4, 2nd ed., Springer, Berlin, 2004 |
| 7. |
Beauville A., “Some remarks on Kähler manifolds with $c_1=0$”, Classification of algebraic and analytic manifolds: Proc. Symp., Katata, 1982, Prog. Math., 39, Birkhäuser, Boston, 1983, 1–26 |
| 8. |
Beauville A., “Variétés kähleriennes dont la première classe de Chern est nulle”, J. Diff. Geom., 18 (1983), 755–782 |
| 9. |
Bogomolov F.A., Tschinkel Yu., “Density of rational points on elliptic K3 surfaces”, Asian J. Math., 4:2 (2000), 351–368 |
| 10. |
Campana F., “Orbifolds, special varieties and classification theory”, Ann. Inst. Fourier, 54:3 (2004), 499–630 |
| 11. |
Corrêa M., \textup {Jr.}, Maza L.G., Soares M.G., “Hypersurfaces invariant by Pfaff systems”, Commun. Contemp. Math., 17:6 (2015), 1450051 |
| 12. |
de Fernex T., Fusi D., “Rationality in families of threefolds”, Rend. Circ. Mat. Palermo, 62:1 (2013), 127–135 |
| 13. |
Debarre O., “Un contre-exemple au théorème de Torelli pour les variétés symplectiques irréductibles”, C. r. Acad. sci. Paris. Sér. I, 299:14 (1984), 681–684 |
| 14. |
Ghys E., “Á propos d'un théorème de J.-P. Jouanolou concernant les feuilles fermées des feuilletages holomorphes”, Rend. Circ. Mat. Palermo, 49:1 (2000), 175–180 |
| 15. |
Hassett B., Tschinkel Yu., “Abelian fibrations and rational points on symmetric products”, Int. J. Math., 11:9 (2000), 1163–1176 |
| 16. |
Hassett B., Tschinkel Yu., “Intersection numbers of extremal rays on holomorphic symplectic varieties”, Asian J. Math., 14:3 (2010), 303–322 |
| 17. |
Hassett B., Tschinkel Yu., “Extremal rays and automorphisms of holomorphic symplectic varieties”, K3 surfaces and their moduli, Prog. Math., 315, Birkhäuser, Cham, 2016, 73–95 |
| 18. |
Jouanolou J.P., “Hypersurfaces solutions d'une équation de Pfaff analytique”, Math. Ann., 232:3 (1978), 239–245 |
| 19. |
Maulik D., Poonen B., “Néron–Severi groups under specialization”, Duke Math. J., 161:11 (2012), 2167–2206 |
| 20. |
Morrison D.R., “On K3 surfaces with large Picard number”, Invent. math., 75 (1984), 105–121 |
| 21. |
O'Grady K.G., “Involutions and linear systems on holomorphic symplectic manifolds”, Geom. Funct. Anal., 15:6 (2005), 1223–1274 |
| 22. |
Oguiso K., “A remark on dynamical degrees of automorphisms of hyperkähler manifolds”, Manuscr. math., 130:1 (2009), 101–111 |
| 23. |
Пятецкий-Шапиро И.И., Шафаревич И.Р., “Теорема Торелли для алгебраических поверхностей типа $K3$”, Изв. АН СССР. Сер. мат., 35:3 (1971), 530–572  ; I. I. Pjateckiĭ-Šapiro and I. R. Šafarevič, “A Torelli theorem for algebraic surfaces of type $K3$”, Math. USSR, Izv., 5:3 (1971), 547–588 |
| 24. |
Saint-Donat B., “Projective models of $K$-3 surfaces”, Am. J. Math., 96:4 (1974), 602–639 |
