On Classification of the extremal contraction from a smooth fourfold

Abstract

We classify extremal divisorial contraction which contracts a divisor to a curve from a smooth fourfold. We prove the exceptional divisor is ${\mathbb{P}}^2$bundle or quadric bundle over a smooth curve and the contraction is the blowing up along the curve.

Amstex v.2.1, 8 pages

References in corpus (1)

• Extremal contractions from 4-dimensional manifolds to 3-folds