On Voronoi's conjecture for four- and five-dimensional parallelohedra

Authors: Garber A.I.¹, Magazinov A.N.²^,3
Affiliations:
1. University of Texas Rio Grande Valley
2. Skolkovo Institute of Science and Technology
3. Company "Yandex"
Issue: Vol 77, No 1 (2022)
Pages: 185-186
Section: Articles
URL: https://journals.rcsi.science/0042-1316/article/view/133706
DOI: https://doi.org/10.4213/rm10020
ID: 133706

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University of Texas Rio Grande Valley

Email: alexeygarber@gmail.com
Candidate of physico-mathematical sciences

Skolkovo Institute of Science and Technology; Company "Yandex"

without scientific degree, no status

G. Voronoi, J. Reine Angew. Math., 1908:133 (1908), 97–178
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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