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Birational classification of curves on rational surfaces
2010
Nagoya mathematical journal
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AbstractIn this paper we consider the birational classification of pairs (S, ℒ), withSa rational surface andℒa linear system onS. We give a classification theorem for such pairs, and we determine, for each irreducible plane curveB, itsCremona minimalmodels, that is, those plane curves which are equivalent toBvia a Cremona transformation and have minimal degree under this condition.
doi:10.1017/s0027763000022212
fatcat:oepskhgs6zclrdkr5seuhcksfm