|
|
|
|
Список литературы
|
|
| |
| 1. |
{D. Buchsbaum and D. Eisenbud}, “{Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3}”, Amer. J. Math., 99:3 (1977), 447–485    |
| 2. |
В. М. Бухштабер, Т. Е. Панов, {Торические действия в топологии и комбинаторике}, МЦНМО, Москва, 2004 |
| 3. |
X. Cao and Z. Lu, {Möbius transform, moment-angle complexes and Halperin-Carlsson conjecture}, 2009, arXiv: 0908.3174 |
| 4. |
G. Carlsson, “{Free $(\mathbb Z/2)^k$-actions and a problem in commutative algebra}”, Lecture Notes in Math., 1217 (1986), 79–83, Springer, Berlin  |
| 5. |
P. E. Conner, “On the action of a finite group on $S^n\times S^n$”, Ann. of Math, 66 (1957), 586–588 |
| 6. |
M. W. Davis and T. Januszkiewicz, “{Convex polytopes, Coxter orbifolds and torus actions}”, Duke Math. J, 62:2 (1991), 417–451 |
| 7. |
E. G. Evans and P. Griffith, “Binomial behavior of Betti numbers for modules of finite length”, Pacific J. Math, 133 (1988), 267–276 |
| 8. |
D. Erman, “A special case of the Buchsbaum-Eisenbud-Horrocks rank conjecture”, Math. Res. Lett., 17:06 (2010), 1079–1089 |
| 9. |
Y. Félix, J. Oprea, D. Tanré, {Algebraic Models in Geometry}, Oxford University Press, 2008 |
| 10. |
Y. Félix, S. Halperin, J. Thomas, {Rational Homotopy Theory}, Springer-Verlag, 2001 |
| 11. |
S. Halperin, “{Rational homotopy and torus actions}”, Aspects of topology, 93 (1985), 293–306, Cambridge Univ. Press, Cambridge |
| 12. |
R. Hartshorne, {Algebraic Geometry}, Springer-Verlag, 1977 |
| 13. |
R. Hartshorne, “{Algebraic vector bundles on projective spaces: a problem list}”, Topology, 18:2 (1979), 117–128 |
| 14. |
T. Höfer, “{Remarks on torus principal bundles}”, {J.Math. Kyoto Univ}, 33:1 (1993), 227–259 |
| 15. |
V. Puppe, “Multiplicative aspects of the Halperin-Carlsson conjecture”, Georgian Mathematical Journal, 16:2 (2009), 369–379, arXiv: 0811.3517 |
| 16. |
Э. Спеньер, Алгебраическая топология, Мир, Москва, 1971 |
| 17. |
Ю. М. Устиновский, “Гипотеза о торическом ранге для момент-угол комплексов”, Матем. заметки, 90:2 (2011), 300–305, arXiv: 0909.1053   |
