Geodesic
Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space
Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 1, pp. 50-61.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1986_20_1_a6,
     author = {A. G. Khovanskii},
     title = {Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in {Lobachevskii} space},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {50--61},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1986_20_1_a6/}
}
TY  - JOUR
AU  - A. G. Khovanskii
TI  - Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1986
SP  - 50
EP  - 61
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1986_20_1_a6/
LA  - ru
ID  - FAA_1986_20_1_a6
ER  - 
%0 Journal Article
%A A. G. Khovanskii
%T Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1986
%P 50-61
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1986_20_1_a6/
%G ru
%F FAA_1986_20_1_a6
A. G. Khovanskii. Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskii space. Funkcionalʹnyj analiz i ego priloženiâ, Tome 20 (1986) no. 1, pp. 50-61. http://geodesic.mathdoc.fr/item/FAA_1986_20_1_a6/

[1] Nikulin V.V., “Ob arifmeticheskikh gruppakh, porozhdennykh otrazheniyami, v prostranstvakh Lobachevskogo”, Izv. AN SSSR, ser. mat., 44 (1980), 637–669 | MR | Zbl

[2] Nikulin V.V., “O klassifikatsii arifmeticheskikh grupp, porozhdennykh otrazheniyami, v prostranstvakh Lobachevskogo”, Izv. AN SSSR, ser. mat., 45 (1981), 113–142 | MR | Zbl

[3] Vinberg E.B., “Otsutstvie kristallograficheskikh grupp otrazhenii v prostranstvakh Lobachevskogo bolshoi razmernosti”, Funktsion. analiz i ego pril., 15:2 (1981), 67,68 | MR | Zbl

[4] Vinberg E.B., “Otsutstvie kristallograficheskikh grupp otrazhenii v prostranstvakh Lobachevskogo bolshoi razmernosti”, Trudy MMO, 47, 1984, 68–102 | MR | Zbl

[5] Prokhorov M.N., “Otsutstvie diskretnykh grupp otrazhenii s nekompaktnym fundamentalnym mnogogrannikom konechnogo ob'ema v prostranstvakh Lobachevskogo bolshoi razmernosti”, Izv. AN SSSR, ser. mat., 50:2 (1986), 413–424 | MR | Zbl

[6] McMullen P., “The number of faces of simplicial polytopes”, Israel J. Math., 9 (1971), 559–570 | DOI | MR | Zbl

[7] Billera L.J., Lee C.W., “Sufficiency of McMullen's conditions for $f$-vectors of simplicial convex polytopes”, Bull. Amer. Math. Soc.(New Series), 2 (1980), 181–185 | DOI | MR | Zbl

[8] Stanley R., “The number of faces of a simplicial convex polytope”, Adv. Math., 35 (1980), 236–238 | DOI | MR | Zbl

[9] Sommerville D.M.Y., “The relations connecting the angle-sums and volume of polytone in space of n dimensions”, Proc. Roy. Soc. London, ser. A115, 1927, 103–119 | Zbl

[10] Kempf G., Knudsen F., Mumford D., Saint-Donat B., “Toroidal embedding. I.”, Lect. Notes Math., no. 339, 1972 | MR

[11] Danilov B.I., “Geometriya toricheskikh mnogoobrazii”, UMN, 33:2 (1978), 85–134 | MR | Zbl

[12] Atiyah M.F. Convexity and commenting hamiltonians, Bull. London Math. Soc., 14 (1982), 1–15 | DOI | MR | Zbl

[13] Guillemin V., Sternberg S., “Convexity properties of the moment mapping”, Invent. math., 67 (1982), 491–513 | DOI | MR | Zbl

[14] Steenbrink J.H.M., “Mixed Hodge structure on the vanishing cohomology”, Math. Institut Amsterdam, 1976 | MR | Zbl