On Classification of the extremal contraction from a smooth fourfold

Details On Classification of the extremal contraction from a smooth fourfold On Classification of the extremal contraction from a smooth fourfold

1996-04-19

arxiv.org/abs/alg-geom/9604013v1

Mathematics

Algebraic Geometry

Amstex v.2.1, 8 pages

Scientific paper

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

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