real algebraic curves; decomposable curves; topological classification; isotopy classification.
The problem of the classification of arrangements of decomposable algebraic 6-th degree curves of general position in real projective plane was solved. Now the topology classification of decomposable 7-th degree curves under some natural maximality conditions is concluded.
Graduated from Faculty of Computer Mathematics and Cybernatics of N. I.Lobachevsky Nizhny Novgorod State University (NNGU) in 1970. A list of my works contains more than 80 titles.
1995 — present I am the scientific secretary of the Nizhny Novgorod Mathematical Society (NNMS).
Polotovskii G. M. On the classification of decomposable 7-th degree curves // Contemp. Math., 2000, v. 253, 219–234.
Dmitrii Andreevich Gudkov (obituary) V. I. Arnol'd, A. M. Vershik, O. Ya. Viro, A. B. Korchagin, E. A. Leontovich-Andronova, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, G. A. Utkin, E. I. Shustin Uspekhi Mat. Nauk, 47:6(288) (1992), 195–198