Polotovsky Grigory Mikhailovich

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Total publications: 7
Scientific articles: 4
Presentations: 2

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Polotovsky Grigory Mikhailovich
Associate professor
Candidate of physico-mathematical sciences (1979)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 16.06.1947
E-mail: ,
Keywords: 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).

Main publications:
  • Polotovskii G. M. On the classification of decomposable 7-th degree curves // Contemp. Math., 2000, v. 253, 219–234.
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. On positions of a real plane quintic relative to a couple of lines
A. B. Korchagin, G. M. Polotovskii
Algebra i Analiz, 21:2 (2009),  92–112
2. Construction of arrangements of a cubic and a quartic by patchworking
M. A. Gushchin, A. N. Korobeinikov, G. M. Polotovsky
Zap. Nauchn. Sem. POMI, 267 (2000),  119–132
3. Projective $M$-cubics and $M$-quartics in general position with a maximally intersecting pair of ovals
S. Yu. Orevkov, G. M. Polotovsky
Algebra i Analiz, 11:5 (1999),  166–184
4. Connection between the rigid isotopy class of a fifth-order nonsingular curve in $\mathbb{R}P^2$ and its disposition with respect to a line
G. M. Polotovsky
Funktsional. Anal. i Prilozhen., 20:4 (1986),  87–88

5. V. V. Morozov, D. A. Gudkov and the first part of the $16$th Hilbert problem
G. M. Polotovskiy
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  31–43
6. 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
7. Dmitrii Andreevich Gudkov (on his seventieth birthday)
V. I. Arnol'd, O. Ya. Viro, E. A. Leontovich-Andronova, V. V. Nikulin, S. P. Novikov, O. A. Oleinik, G. M. Polotovsky, V. M. Kharlamov
Uspekhi Mat. Nauk, 44:1(265) (1989),  223–225

Presentations in Math-Net.Ru
1. Professor D.A. Gudkov (1918 - 1992) - an outstanding mathematician and researcher of the biography of N.I. Lobachevsky (on the occasion of the 100th anniversary of his birth)
G. M. Polotovsky
Seminar on the History of Mathematics
September 6, 2018 18:00   
2. Nizhny Novgorod mathematician Artemiy Grigorievich Mayer and his course of the history of mathematics (to the 110th anniversary since the birth)
G. M. Polotovsky
Seminar on the History of Mathematics
May 7, 2015 18:00   

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