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September 2010 Birational classification of curves on rational surfaces
Alberto Calabri, Ciro Ciliberto
Nagoya Math. J. 199: 43-93 (September 2010). DOI: 10.1215/00277630-2010-003

Abstract

In this paper we consider the birational classification of pairs SL, 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.

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Alberto Calabri. Ciro Ciliberto. "Birational classification of curves on rational surfaces." Nagoya Math. J. 199 43 - 93, September 2010. https://doi.org/10.1215/00277630-2010-003

Information

Published: September 2010
First available in Project Euclid: 14 September 2010

zbMATH: 1205.14015
MathSciNet: MR2730411
Digital Object Identifier: 10.1215/00277630-2010-003

Subjects:
Primary: 14E05
Secondary: 14E07, 14E30, 14H50, 14J26

Rights: Copyright © 2010 Editorial Board, Nagoya Mathematical Journal

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