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The parametric blowing-up of two-dimensional local domains

Published online by Cambridge University Press:  24 October 2008

Peter Schenzel
Peter Schenzel
Affiliation:
Martin-Luther-Universitt, Halle-Wittenberg, DDR-4010 Halle, German Democratic Republic
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Extract

Let (A, M) be a local Noetherian integral domain of dimension two and X = Spec A. For an ideal IA the graded ring RA(I) = noIn denotes the Rees algebra of A with respect to I. The projective scheme Y = Proj RA(I) is called the blowing-up of X (resp. A) along I. Then there exists a proper mapping : YX. The preimage Z = 1(V(I)) is called the exceptional fibre. Note that induces an isomorphism

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 2 , September 1983 , pp. 217 - 228
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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