Geodesic
V. V. Morozov, D. A. Gudkov and the first part of the $16$th Hilbert problem
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 31-43

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We reveal some little-known facts from the history of the solution of the $16$th Hilbert problem. In particular, we consider the role of Professor V. V. Morozov (Kazan University) in the correction of errors in D. A. Gudkov's initial results about the topology of the plane real algebraic curves of degree $6$. The study is based on the preserved correspondence between D. A. Gudkov and V. V. Morozov.
Keywords: plane algebraic curves, $16$th Hilbert problem, D. A. Gudkov, Gudkov's conjecture, congruence modulo $8$.
Mots-clés : V. V. Morozov 
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     title = {V. {V.~Morozov,} {D.} {A.~Gudkov} and the first part of the $16$th {Hilbert} problem},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
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     language = {ru},
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G. M. Polotovskiy. V. V. Morozov, D. A. Gudkov and the first part of the $16$th Hilbert problem. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 31-43. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a3/