In this paper we consider the birational classification of pairs (S,L), with S a rational surface and L a linear system on S. We give a classification theorem for such pairs, and we determine, for each irreducible plane curve B, its Cremona minimal models, that is, those plane curves which are equivalent to B via a Cremona transformation and have minimal degree under this condition.
Birational classification of curves on rational surfaces
CALABRI, Alberto;
2010
Abstract
In this paper we consider the birational classification of pairs (S,L), with S a rational surface and L a linear system on S. We give a classification theorem for such pairs, and we determine, for each irreducible plane curve B, its Cremona minimal models, that is, those plane curves which are equivalent to B via a Cremona transformation and have minimal degree under this condition.File in questo prodotto:
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