The parametric blowing-up of two-dimensional local domains
Published online by Cambridge University Press: 24 October 2008
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
References
REFERENCES
- 1
- Cited by