@article{ZNSL_2020_498_a10,
author = {G. M. Polotovskiy},
title = {V.~A.~Rokhlin and {D.~A.~Gudkov} against the background of {Hilbert's} 16th problem (according to their correspondence in 1971{\textendash}1982)},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {157--167},
year = {2020},
volume = {498},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a10/}
}
TY - JOUR AU - G. M. Polotovskiy TI - V. A. Rokhlin and D. A. Gudkov against the background of Hilbert's 16th problem (according to their correspondence in 1971–1982) JO - Zapiski Nauchnykh Seminarov POMI PY - 2020 SP - 157 EP - 167 VL - 498 UR - http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a10/ LA - ru ID - ZNSL_2020_498_a10 ER -
%0 Journal Article %A G. M. Polotovskiy %T V. A. Rokhlin and D. A. Gudkov against the background of Hilbert's 16th problem (according to their correspondence in 1971–1982) %J Zapiski Nauchnykh Seminarov POMI %D 2020 %P 157-167 %V 498 %U http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a10/ %G ru %F ZNSL_2020_498_a10
G. M. Polotovskiy. V. A. Rokhlin and D. A. Gudkov against the background of Hilbert's 16th problem (according to their correspondence in 1971–1982). Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXXI, Tome 498 (2020), pp. 157-167. http://geodesic.mathdoc.fr/item/ZNSL_2020_498_a10/
[1] P. S. Aleksandrov (red.), Problemy Gilberta, Nauka, M., 1969
[2] D. A. Gudkov, “Polnaya topologicheskaya klassifikatsiya raspolozheniya ovalov krivoi 6-go poryadka v proektivnoi ploskosti”, Uchenye zap. Gorkovskogo universiteta, 1969, no. 87, 118–153
[3] D. A. Gudkov, “Postroenie novoi serii M-krivykh”, DAN SSSR, 200:6 (1971), 1269–1272 | Zbl
[4] V. I. Arnold, “O raspolozhenii ovalov veschestvennykh ploskikh algebraicheskikh krivykh, involyutsiyakh chetyrekhmernykh gladkikh mnogoobrazii i arifmetike tselochislennykh kvadratichnykh form”, Funkts. analiz i ego pril., 5:3 (1971), 1–9
[5] V. A. Rokhlin, “Dokazatelstvo gipotezy Gudkova”, Funkts. analiz i ego pril., 6:2 (1972), 62–64 | MR | Zbl
[6] V. A. Rokhlin, “Sravneniya po modulyu 16 v shestnadtsatoi probleme Gilberta”, Funkts. analiz i ego pril., 6:4 (1972), 58–64 | MR
[7] A. Maren, “Neskolko zamechanii o veschestvennykh ploskikh algebraicheskikh krivykh”, V poiskakh utrachennoi topologii, Mir, M., 1989, 162–172
[8] D. A. Gudkov, “Topologiya veschestvennykh proektivnykh algebraicheskikh mnogoobrazii”, UMN, 29:4(178) (1974), 3–79 | MR | Zbl
[9] G. M. Polotovskii, “Topologiya veschestvennykh algebraicheskikh krivykh: istoriya i rezultaty”, Istoriko-matematicheskie issledovaniya, Vtoraya seriya, 2011, no. 14(29), 177–212 | MR | Zbl
[10] G. M. Polotovskii (redaktor-sostavitel), Dmitrii Andreevich Gudkov: dokumenty, perepiska, vospominaniya, NNGU im. N. I. Lobachevskogo, N. Novgorod, 2018 | MR
[11] V. M. Kharlamov, “Topologicheskie tipy neosobykh poverkhnostei stepeni 4 v $\mathbb{R}P^3$”, Funkts. analiz i ego pril., 10:4 (1976), 55–68 | MR | Zbl
[12] O. Ya. Viro, “Krivye stepeni 7, krivye stepeni 8 i gipoteza Regsdeil”, DAN SSSR, 254:6 (1980), 1306–1310 | MR | Zbl
[13] D. A. Gudkov, A. D. Krakhnov, “O periodichnosti eilerovoi kharakteristiki veschestvennykh algebraicheskikh (M-1)-mnogoobrazii”, Funkts. analiz i ego pril., 7:2 (1973), 15–19 | MR | Zbl
[14] V. M. Kharlamov, “Novye sravneniya dlya eilerovoi kharakteristiki veschestvennykh algebraicheskikh mnogoobrazii”, Funkts. analiz i ego pril., 7:2 (1973), 74–78 | MR | Zbl
[15] I. Itenberg, “Contre-exemples à la conjecture de Ragsdale”, C. R. Acad. Sci. Paris (Série I), 317 (1993), 277–282 | MR | Zbl
[16] G. M. Polotovskii, “K zadache topologicheskoi klassifikatsii raspolozheniya ovalov neosobykh algebraicheskikh krivykh v proektivnoi ploskosti”, Metody kachestvennoi teorii differentsialnykh uravnenii, 1, 1975, 101–128
[17] A. M. Vershik, “V. A. Rokhlin v Leningrade (1960–1984)”, Izbrannye trudy, MTsNMO, VKM NMU, M., 1999, 457–471
[18] E. Gordon, “Dmitrii Andreevich Gudkov v moei zhizni”, Internet-zhurnal "Sem iskusstv, no. 102 http://7i.7iskusstv.com/2018-nomer9-egordon/
[19] S. P. Novikov, “Rokhlin”: V. A. Rokhlin, Izbrannye trudy, MTsNMO, VKM NMU, M., 1999, 472–491 | MR