Dmitrii Andreevich Gudkov (1918–1992; alternative spelling Dmitry) was a Soviet mathematician famous for his work on Hilbert's sixteenth problem and the related

Gudkov's conjecture In real algebraic geometry, Gudkov's conjecture, also called Gudkov’s congruence, (named after Dmitry Gudkov) was a conjecture, and is now a theorem, which states that an M-curve of even degree 2d obeys the congruence : p - n \equiv d^2\, (\! ...

in algebraic geometry. He was a student of

Aleksandr Andronov Aleksandr Aleksandrovich Andronov (russian: Алекса́ндр Алекса́ндрович Андро́нов; , Moscow – October 31, 1952, Gorky) was a Soviet physicist and member of the Soviet Academy of Sciences (1946). He worked exten ...

.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).

References

{{DEFAULTSORT:Gudkov, Dmitrii Andreevich Soviet mathematicians 1918 births 1992 deaths Algebraic geometers