Cubic surfaces of Markov type
Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 333-348
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In this paper the group of birational automorphisms of a cubic surface of Markov type is computed, and it is proved that its action on the set of integral solutions of the corresponding Diophantine equation is transitive. Bibliography: 4 titles.
[1] Yu. I. Manin, Kubicheskie formy, izd-vo «Nauka», Moskva, 1972 | MR
[2] Yu. I. Manin, “Ratsionalnye poverkhnosti nad sovershennymi polyami”, Publ. Math. IHES, 30 (1966), 55–113 | MR
[3] Dzh. Kassels, Vvedenie v teoriyu diofantovykh priblizhenii, IL, Moskva, 1961
[4] M. Kholl, Teoriya grupp, IL, Moskva, 1962