Geodesic
Invariants of incomplete algebraic surfaces obtained by completions
Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 503-515.

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One considers properties of incomplete algebraic surfaces connected with their imbedding in complete surfaces. 
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M. Kh. Gizatullin. Invariants of incomplete algebraic surfaces obtained by completions. Izvestiya. Mathematics , Tome 5 (1971) no. 3, pp. 503-515. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a2/

[1] Shafarevich I. R., Lectures on minimal models and birational shemes, Tata Inst. of Fundamental Research, Bombay, 1966 | MR | Zbl

[2] Gizatullin M. Kh., “Ob affinnykh poverkhnostyakh, popolnyaemykh neosoboi ratsionalnoi krivoi”, Izv. AN SSSR. Ser. matem., 34 (1970), 778–802 | MR | Zbl

[3] Nagata M., “Imbedding of an abstract variety in a complete variety”, J. Math. Kyoto Univ., 2:1 (1962), 1–10 | MR | Zbl

[4] Mamford D., Lektsii o krivykh na algebraicheskoi poverkhnosti, Mir, M., 1968