Birational classification of curves on rational surfaces
Algebraic Geometry
2009-06-29 v1
Abstract
In this paper we consider the birational classification of pairs (S,L), with S a rational surfaces 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, i.e. those plane curves which are equivalent to B via a Cremona transformation, and have minimal degree under this condition.
Keywords
Cite
@article{arxiv.0906.4963,
title = {Birational classification of curves on rational surfaces},
author = {Alberto Calabri and Ciro Ciliberto},
journal= {arXiv preprint arXiv:0906.4963},
year = {2009}
}
Comments
33 pages