Terminal 3-fold divisorial contractions of a surface to a curve I
Date
2004ISSN
0010-437XSource
Compositio MathematicaVolume
139Issue
3Pages
239-261Google Scholar check
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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 surface E to Γ. We consider cases with respect to the singularities of the general hypersurface section S of X through Γ. We completely classify the cases when S is Ai, i ≤ 3, and D 2n for any n. © 2003 Kluwer Academic Publishers.