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Factoring birational maps of rational surfaces over the field of real numbers. (Russian. English summary) Zbl 0917.14005
Summary: In this work the classification of nonsingular projective rational surfaces over the field of real numbers is given, the theorem about factoring of every birational map between this surfaces into elementary ones is proved, a full system of relations between the latter is found.

MSC:
14E05 Rational and birational maps
14J26 Rational and ruled surfaces
14P99 Real algebraic and real-analytic geometry
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