English

Three dimensional divisorial extremal neighborhoods

Algebraic Geometry 2009-09-29 v2

Abstract

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.

Cite

@article{arxiv.math/0309010,
  title  = {Three dimensional divisorial extremal neighborhoods},
  author = {Nikolaos Tziolas},
  journal= {arXiv preprint arXiv:math/0309010},
  year   = {2009}
}

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37 pages