Abstract
In the present article we have proved that some positive power of an arbitrary automorphism of a birational ruled surface acts either on a relatively minimal model or on a rational surface whose Picard group has rank equal to 10 (see [3]).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
“Algebraic surfaces,” Trudy Matem., AN SSSR,75, 75–91 (1965).
Yu. I. Manin, “Rational surfaces over perfect fields, II,” Matem. Sb.,72, No. 2, 161–192 (1967).
Yu. I. Manin, “On the arithmetic of rational surfaces,” Dokl. AN SSSR,152, No. 1, 47–49 (1963).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 5, No. 2, pp. 145–148, February, 1969.
Rights and permissions
About this article
Cite this article
Manin, Y.I. Regular elements in the Cremonian group. Mathematical Notes of the Academy of Sciences of the USSR 5, 91–92 (1969). https://doi.org/10.1007/BF01098304
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01098304