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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 31–43 (Mi uzku1116)  

V. V. Morozov, D. A. Gudkov and the first part of the $16$th Hilbert problem

G. M. Polotovskiy

Faculty of Mechanics and Mathematics, N. I. Lobachevski State University of Nizhni Novgorod

Abstract: 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, V. V. Morozov, Gudkov's conjecture, congruence modulo $8$.

Full text: PDF file (836 kB)
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UDC: 512.77+929
Received: 09.02.2012

Citation: 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, no. 2, Kazan University, Kazan, 2012, 31–43

Citation in format AMSBIB
\Bibitem{Pol12}
\by G.~M.~Polotovskiy
\paper V.\,V.~Morozov, D.\,A.~Gudkov and the first part of the $16$th Hilbert problem
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 2
\pages 31--43
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1116}


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