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- 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 obeys the congruence where is the number of positive ovals and the number of negative ovals of the M-curve. (Here, the term M-curve stands for "maximal curve"; it means a smooth algebraic curve over the reals whose genus is , where is the number of maximal components of the curve.) The theorem was proved by the combined works of Vladimir Arnold and Vladimir Rokhlin. (en)
- Na geometria algébrica, a conjectura de Gudkov (nomeada após ) era uma conjectura, e é agora um teorema, que afirma que "uma de grau par 2d obedece p – n ≡ d2 (mod 8)", onde p é o número de ovais positivas, e n o número de ovais negativas da curva-M. Ela foi provada pelos trabalhos combinados de Vladimir Arnold e Vladimir Rokhlin. (pt)
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- 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 obeys the congruence where is the number of positive ovals and the number of negative ovals of the M-curve. (Here, the term M-curve stands for "maximal curve"; it means a smooth algebraic curve over the reals whose genus is , where is the number of maximal components of the curve.) The theorem was proved by the combined works of Vladimir Arnold and Vladimir Rokhlin. (en)
- Na geometria algébrica, a conjectura de Gudkov (nomeada após ) era uma conjectura, e é agora um teorema, que afirma que "uma de grau par 2d obedece p – n ≡ d2 (mod 8)", onde p é o número de ovais positivas, e n o número de ovais negativas da curva-M. Ela foi provada pelos trabalhos combinados de Vladimir Arnold e Vladimir Rokhlin. (pt)
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- Gudkov's conjecture (en)
- Conjectura de Gudkov (pt)
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