Polotovsky, Grigory Mikhailovich

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Total publications: 12
Scientific articles: 7
Presentations: 3

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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. I. M. Borisov, G. M. Polotovsky, “On the topology of planar real decomposable curves of degree 8”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 176 (2020),  3–18  mathnet
2. V. A. Gorskaya, G. M. Polotovsky, “On the disposition of cubic and pair of conics in a real projective plane”, Zhurnal SVMO, 22:1 (2020),  24–37  mathnet
3. A. B. Korchagin, G. M. Polotovskii, “On positions of a real plane quintic relative to a couple of lines”, Algebra i Analiz, 21:2 (2009),  92–112  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:2 (2010), 231–244  isi  scopus
4. M. A. Gushchin, A. N. Korobeinikov, G. M. Polotovsky, “Construction of arrangements of a cubic and a quartic by patchworking”, Zap. Nauchn. Sem. POMI, 267 (2000),  119–132  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 113:6 (2003), 795–803
5. S. Yu. Orevkov, G. M. Polotovsky, “Projective $M$-cubics and $M$-quartics in general position with a maximally intersecting pair of ovals”, Algebra i Analiz, 11:5 (1999),  166–184  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:5 (2000), 837–852
6. G. M. Polotovsky, “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”, Funktsional. Anal. i Prilozhen., 20:4 (1986),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:4 (1986), 330–332  isi
7. G. M. Polotovsky, “A catalogue of $M$-decomposing curves of sixth order”, Dokl. Akad. Nauk SSSR, 236:3 (1977),  548–551  mathnet  mathscinet  zmath

8. 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)”, Zap. Nauchn. Sem. POMI, 498 (2020),  157–167  mathnet
9. G. M. Polotovskiy, “V. V. Morozov, D. A. Gudkov and the first part of the $16$th Hilbert problem”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  31–43  mathnet
10. 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, “Dmitrii Andreevich Gudkov (obituary)”, Uspekhi Mat. Nauk, 47:6(288) (1992),  195–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:6 (1992), 193–197  isi
11. 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, “Dmitrii Andreevich Gudkov (on his seventieth birthday)”, Uspekhi Mat. Nauk, 44:1(265) (1989),  223–225  mathnet  mathscinet; Russian Math. Surveys, 44:1 (1989), 271–273  isi
12. G. M. Polotovsky, “Поправки к статье “Каталог $M$-распадающихся кривых $6$-го порядка” (ДАН, т. 236, № 3, 1977 г.)”, Dokl. Akad. Nauk SSSR, 240:6 (1978),  1272  mathnet

Presentations in Math-Net.Ru
1. Dmitry Andreevich Gudkov — an outstanding mathematician and the researcher of Lobachevsky's biography
G. M. Polotovsky
International conference «Real and Complex Dynamical Systems», dedicated to the to the 75th anniversary of Yu. S. Il'yashenko
November 29, 2018 16:00   
2. 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   
3. 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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