3-Fold Extremal Contractions of Types (IC) and (IIB)

3-Fold Extremal Contractions of Types (IC) and (IIB)

Let (X, C) be a germ of a 3-fold X with terminal singularities along an irreducible reduced complete curve C with a contraction f:(X, C) → (Z, o) such that C = f−1 (o)red and −KX is ample. Assume that (X, C) contains a point of type (IC) or (IIB). We complete the classification of such germs in term...

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Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2014-02, Vol.57 (1), p.231-252
Hauptverfasser: Mori, Shigefumi, Prokhorov, Yuri
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Integrated circuits
Mathematical analysis
Mathematics
Singularities
Terminals
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Zusammenfassung:Let (X, C) be a germ of a 3-fold X with terminal singularities along an irreducible reduced complete curve C with a contraction f:(X, C) → (Z, o) such that C = f−1 (o)red and −KX is ample. Assume that (X, C) contains a point of type (IC) or (IIB). We complete the classification of such germs in terms of a general member containing C.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091513000850