Dmitrii Andreevich Gudkov (1918–1992; alternative spelling Dmitry) was a Soviet mathematician famous for his work on
Hilbert's sixteenth problem
Hilbert's 16th problem was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, as part of his list of 23 problems in mathematics.
The original problem was posed as the ''Problem of the topology ...
and the related
Gudkov's conjecture in
algebraic geometry
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
. He was a student of
Aleksandr Andronov
Aleksandr Aleksandrovich Andronov (; , Moscow – October 31, 1952, Gorky) was a Soviet physicist and member of the Soviet Academy of Sciences (1946). He worked extensively on the theory of stability of dynamical systems, introducing (together ...
.
[Jeremy Gray – ''The Hilbert Challenge'', p. 147]
Selected papers
*D. A. Gudkov, "The topology of real projective algebraic varieties", ''Russian Mathematical Surveys'', 1974, 29 (4), pp. 1–79 (translated from the Russian original).
*D. A. Gudkov "Periodicity of the Euler characteristic of real algebraic (M—1)-manifolds", ''Functional Analysis and Its Applications'', April–June, 1973, Volume 7, Issue 2, pp. 98–102 (translated from the Russian original).
*D.A Gudkov. "Ovals of sixth order curves". in the book ''Nine Papers on Hilbert's 16th Problem'' ''
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
'' 112, pp. 9–14 (translated from the Russian original).
Further reading
*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)", ''
Russian Mathematical Surveys
''Uspekhi Matematicheskikh Nauk'' () is a Russian mathematical journal, published by the Russian Academy of Sciences and Moscow Mathematical Society and translated into English as ''Russian Mathematical Surveys''.
''Uspekhi Matematicheskikh Nauk' ...
'', 1989, Volume 44, Issue 1, 271–273.
References
{{DEFAULTSORT:Gudkov, Dmitrii Andreevich
Soviet mathematicians
1918 births
1992 deaths
Algebraic geometers