Threefold extremal contractions of type IA

Details Threefold extremal contractions of type IA Threefold extremal contractions of type IA

2010-04-23

arxiv.org/abs/1004.4188v1

Kyoto J. Math. 51, No. 2, 393-438 (2011)

Mathematics

Algebraic Geometry

LaTeX, 37 pages

Scientific paper

10.1215/21562261-1214393

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 a general member $F\in |-K_X|$ meets $C$ only at one point $P$ and furthermore $(F,P)$ is Du Val of type A if index$(X,P)=4$. We classify all such germs in terms of a general member $H\in |O_X|$ containing $C$.

Affiliated with

Also associated with

No associations

Rating

Threefold extremal contractions of type IA does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Threefold extremal contractions of type IA, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Threefold extremal contractions of type IA will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695084