On Voronoi's conjecture for four- and five-dimensional parallelohedra
- Авторлар: Garber A.I.1, Magazinov A.N.2,3
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Мекемелер:
- University of Texas Rio Grande Valley
- Skolkovo Institute of Science and Technology
- Company "Yandex"
- Шығарылым: Том 77, № 1 (2022)
- Беттер: 185-186
- Бөлім: Articles
- URL: https://journal-vniispk.ru/0042-1316/article/view/133706
- DOI: https://doi.org/10.4213/rm10020
- ID: 133706
Дәйексөз келтіру
Аннотация
Авторлар туралы
Aleksei Garber
University of Texas Rio Grande Valley
Email: alexeygarber@gmail.com
Candidate of physico-mathematical sciences
Aleksandr Magazinov
Skolkovo Institute of Science and Technology; Company "Yandex"without scientific degree, no status
Әдебиет тізімі
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- B. Delaunay, Изв. АН СССР. Сер. VII. Отд. физ.-матем. наук, 1929, № 1, 79–110
- A. Garber, A. Magazinov, Voronoi conjecture for five-dimensional parallelohedra, 2020 (v1 – 2019), 34 pp.
- J. E. Goodman, J. O'Rourke, C. D. Toth (eds.), Handbook of discrete and computational geometry, Discrete Math. Appl. (Boca Raton), 3rd ed., CRC Press, Boca Raton, FL, 2017, xxi+1927 pp.
- Н. П. Долбилин, Тр. ММО, 73, № 2, МЦНМО, М., 2012, 259–276
- H. Minkowski, Nachr. Ges. Wiss. Göttingen. Math.-Phys. Kl., 1897 (1897), 198–219
- Б. А. Венков, Вестн. Ленинград. ун-та. Сер. матем., физ., хим., 9:2 (1954), 11–31
- P. McMullen, Mathematika, 27:1 (1980), 113–121
- O. K. Zitomirskij, Журн. Лен. физ.-матем. общ., 2:2 (1929), 131–151
- M. Dutour Sikiric, V. Grishukhin, A. Magazinov, European J. Combin., 42 (2014), 49–73
- A. Garber, Ann. Comb., 21:4 (2017), 551–572
- A. Ordine, Proof of the Voronoi conjecture on parallelotopes in a new special case, Thesis (Ph.D.), Queen's Univ., Canada, 2005, 131 pp.
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