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On affine surfaces that can be completed by a nonsingular rational curve

M. Kh. Gizatullin


Abstract: It is proved that an affine nonsingular surface which can be completed by a nonsingular rational curve is quasi-homogeneous. The homogeneity of such surfaces is proved in the case of characteristic zero.

UDC: 513.6

MSC: 14H45, 14H37, 14J50, 14J17

Received: 19.02.1970

 English version: Mathematics of the USSR-Izvestiya, 1970, 4:4, 787–810

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