Semistable divisorial contractions
arXiv:math/0208049 · doi:10.1016/j.jalgebra.2004.03.008
Abstract
The semistable minimal model program is a special case of the minimal model program concerning 3-folds fibred over a curve and birational morphisms preserving this structure. We classify semistable divisorial contractions which contract the exceptional divisor to a normal point of a fibre. Our results can be applied to describe compact moduli spaces of surfaces.
16 pages. Introduction rewritten and references added in version 2