Geodesic
Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies
Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 1, pp. 49-56.

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

@article{FAA_1984_18_1_a6,
     author = {V. M. Kharlamov},
     title = {Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {49--56},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a6/}
}
TY  - JOUR
AU  - V. M. Kharlamov
TI  - Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1984
SP  - 49
EP  - 56
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a6/
LA  - ru
ID  - FAA_1984_18_1_a6
ER  - 
%0 Journal Article
%A V. M. Kharlamov
%T Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1984
%P 49-56
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a6/
%G ru
%F FAA_1984_18_1_a6
V. M. Kharlamov. Classification of nonsingular surfaces of degree $4$ in $\mathbb{RP}^3$ with respect to rigid isotopies. Funkcionalʹnyj analiz i ego priloženiâ, Tome 18 (1984) no. 1, pp. 49-56. http://geodesic.mathdoc.fr/item/FAA_1984_18_1_a6/

[1] Rokhlin V.A., “Kompleksnye topologicheskie kharakteristiki veschestvennykh algebraicheskikh krivykh”, UMN, 33:5 (1978), 77–89 | MR | Zbl

[2] Gudkov D.A., “Topologiya veschestvennykh proektivnykh algebraicheskikh mnogoobrazii”, UMN, 29:4 (1974), 3–79 | MR | Zbl

[3] Kharlamov V.M., “Topologicheskie tipy neosobykh poverkhnostei stepeni 4 v $\mathbf RP^3$”, Funkts. analiz, 10:4 (1976), 55–68 | MR | Zbl

[4] Viro O.Ya., “Krivye stepeni 7, krivye stepeni 8 i oproverzhenie gipotezy Regsdeil”, DAN SSSR, 254:6 (1980), 1306–1310 | MR | Zbl

[5] Kharlamov V.M., “Izotopicheskie tipy neosobykh poverkhnostei stepeni 4 v $\mathbf RP^3$”, Funkts. analiz, 12:1 (1978), 86–87 | MR | Zbl

[6] Nikulin V.V., “Tselochislennye simmetricheskie bilineinye formy i nekotorye ikh geometricheskie prilozheniya”, Izv. AN SSSR, seriya matem., 43:1 (1979), 111–177 | MR | Zbl

[7] Kharlamov V.M., “Zhestkaya izotopicheskaya klassifikatsiya veschestvennykh ploskikh krivykh stepeni 5”, Funkts. analiz, 15:1 (1981), 88–89 | MR | Zbl

[8] Klein F., “Über Flächen dritter Oidnung”, Math. Ann., 6 (1873), 551–581 | DOI | MR

[9] Hilbert D., “Über die Gestalt einer Fläche vierter Ordnung”, Gött. Nachrichten, 1909, 308–313 | Zbl

[10] Rohn K., “Die Maximalzahl von Ovalen bei einer Fläche 4. Ordnung.”, Leipziger Berichte, 63 (1911), 423–440 | Zbl

[11] Rohn K., “Die Maximalzahl und Anordnung der Ovale bei der ebenen Kurve 6. Ordnung und bei der Fläche 4. Ordnung”, Math. Ann., 73 (1913), 177–229 | DOI | MR

[12] Gudkov D.A., Utkin G.E., “Topologiya krivykh 6-go poryadka i poverkhnostei 4-go poryadka”, Uch. zap. Gork. un-ta, 87, 1969, 3–213

[13] Utkin G.E., “Postroenie odnoi $M$-poverkhnosti 4-go poryadka v $\mathbf RP^3$”, Funkts. analiz, 8:2 (1974), 91–92 | MR | Zbl

[14] Pyatetskii-Shapiro I.I., Shafarevich I.R., “Teorema Torelli dlya algebraicheskikh poverkhnostei tipa KZ”, Izv. AN SSSR, seriya matem., 35:3 (1971), 530–572 | MR | Zbl

[15] Kulikov V.S., “Epimorfnost otobrazheniya periodov dlya poverkhnostei tipa KZ”, UMN, 32:4 (1977), 257–258 | MR | Zbl

[16] Kharlamov V.M., “Veschestvennye algebraicheskie poverkhnosti”, Tr. mezhd. matem. kongressa, 1, Khelsinki, 1978, 421–428 | MR

[17] Viro O.Ya., “Postroenie mnogokomponentnykh veschestvennykh algebraicheskikh poverkhnostei”, DAN SSSR, 248:2 (1979), 279–282 | MR | Zbl

[18] Rokhlin V.A., “Novye neravenstva v topologii veschestvennykh ploskikh algebraicheskikh krivykh”, Funkts. analiz, 14:1 (1980), 37–43 | MR | Zbl

[19] Vinberg E.B., “O gruppakh edinits nekotorykh kvadratichnykh form”, Matem. sb., 87:1 (1972), 18–36 | MR | Zbl