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Abstract: In this paper we consider the birational classification of pairs S,L, withS a rational surfaces and L a linear system on S. We give a classificationtheorem for such pairs and we determine, for each irreducible plane curve B,its -Cremona minimal- models, i.e. those plane curves which are equivalent to Bvia a Cremona transformation, and have minimal degree under this condition.



Author: Alberto Calabri, Ciro Ciliberto

Source: https://arxiv.org/







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