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Three dimensional divisorial extremal neighborhoods

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In this paper we study divisorial extremal neighborhoods 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.

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Correspondence to Nikolaos Tziolas.

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Tziolas, N. Three dimensional divisorial extremal neighborhoods. Math. Ann. 333, 315–354 (2005). https://doi.org/10.1007/s00208-005-0676-9

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  • DOI: https://doi.org/10.1007/s00208-005-0676-9

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