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

  • Shigefumi Mori (a1) and Yuri Prokhorov (a2) (a3)

Abstract

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.

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Copyright

References

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8.Mori, S. and Prokhorov, Y., Threefold extremal contractions of type IA, Kyoto J. Math. 51(2) (2011), 393438.

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