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Mathematische Annalen

, Volume 333, Issue 2, pp 315–354 | Cite as

Three dimensional divisorial extremal neighborhoods

  • Nikolaos TziolasEmail author
Article

Abstract

In this paper we study divisorial extremal neighborhoods Open image in new window such that 0 ∈ X is a cA n type threefold terminal singularity, and Γ=f(E) is a smooth curve, where E is the f-exceptional divisor. We view a divisorial extremal neighborhood as a one parameter smoothing of certain surface singularities, and based on this we give a classification of such neighborhoods.

Mathematics Subject Classification (2000)

14E30 14E35 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Max Planck Institute for Mathematics BonnGermany
  2. 2.Department of MathematicsUniversity of CreteHeraklionGreece

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