On Classification of the extremal contraction from a smooth fourfold
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
We classify extremal divisorial contraction which contracts a divisor to a curve from a smooth fourfold. We prove the exceptional divisor is bundle or quadric bundle over a smooth curve and the contraction is the blowing up along the curve.
Cite
@article{arxiv.alg-geom/9604013,
title = {On Classification of the extremal contraction from a smooth fourfold},
author = {Hiromichi Takagi},
journal= {arXiv preprint arXiv:alg-geom/9604013},
year = {2008}
}
Comments
Amstex v.2.1, 8 pages