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Birational pairs according to S. Iitaka

Published online by Cambridge University Press:  24 October 2008

D. Dicks
D. Dicks
Affiliation:
Mathematics Institute, Warwick University
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Extract

This paper is largely inspired by the work and results of Iitaka in [6]. The study undertaken is of pairs X & C, up to birational equivalence, where X is a projective, non-singular surface and C is a reduced curve on X. In [6] Iitaka gives a classification of &-minimal pairs and introduces the important idea of the #-minimal model. The classification of &-minimal pairs given here is a slight improvement on that of Iitaka on account of the use of Mori theory in place of more classical methods. Before the classification in Section 3 we have included a section on the uniqueness of the &-minimal model which does not occur in the work of Iitaka.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 1 , July 1987 , pp. 59 - 69
Copyright
Copyright © Cambridge Philosophical Society 1987

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References

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