Threefold extremal contractions of type (IIA), II

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 (IIA). This paper continues our study of such germs containing a point of type (IIA) started in our previous paper arXiv:1601.07671.

arXiv comment27 pages, LaTeX, to appear in Nigel Hitchin 70 Conference Proceedings