This article is cited in 9 papers

Cubic surfaces of Markov type

M. H. Èl'-Huti


Abstract: 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.

UDC: 513.015.7

MSC: Primary 14J05, 14J15, 14J25; Secondary 14E05, 14F99, 14C25

Received: 22.02.1973

 English version: Mathematics of the USSR-Sbornik, 1974, 22:3, 333–348

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