Browsing by Subject "Algebraic geometry"
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Article
Terminal 3-fold divisorial contractions of a surface to a curve I
(2004)Let Γ ⊂ X be a smooth curve on a 3-fold which has only index 1 terminal singularities along Γ. In this paper we investigate the existence of extremal terminal divisorial contractions E ⊂ Y → ⊂ X, contracting an irreducible ...
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Article
Three-fold divisorial extremal neighborhoods over cE7 and cE6 compound duval singularities
(2010)Let P ∈ Γ ⊂ X be the germ of a Gorenstein three-fold singularity and Γ a smooth curve through it such that the general hyperplane section S of X containing Γ is DuVal of type E6 or E7. In this paper we obtain criteria for ...