Three dimensional divisorial extremal neighborhoods

Details Three dimensional divisorial extremal neighborhoods Three dimensional divisorial extremal neighborhoods

2003-08-31

arxiv.org/abs/math/0309010v2

Mathematics

Algebraic Geometry

37 pages

Scientific paper

Revised version. Proper credits added. In this paper we study divisorial extremal neighborhoods f:Y-->X, such that X is a cAn type three dimensional terminal singularity, and C=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.

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