Geodesic
Cubic surfaces of Markov type
Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 333-348 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Cubic surfaces of {Markov} type},
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M. H. Èl'-Huti. Cubic surfaces of Markov type. Sbornik. Mathematics, Tome 22 (1974) no. 3, pp. 333-348. http://geodesic.mathdoc.fr/item/SM_1974_22_3_a0/

[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