Threefold extremal contractions of types (IC) and (IIB)

Abstract

Let $(X,C)$ be a germ of a threefold $X$ with terminal singularities along an irreducible reduced complete curve $C$ with a contraction $f:(X,C)\to (Z,o)$ such that $C=f^{-1}(o{)}_{red}$ and $-K_X$ 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 $H\in |{\mathcal{O}}_X|$ containing $C$.

22 pages, LaTeX

References in corpus (1)

• Threefold extremal contractions of type IA

Cited by in corpus (2)

• Threefold extremal contractions of type (IIA), I
• Threefold extremal curve germs with one non-Gorenstein point