On Classification of the extremal contraction from a smooth fourfold

1996/04/19 by Hiromichi Takagi, Takagi, Hiromichi
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9604013

openalex publication_date 1996/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify extremal divisorial contraction which contracts a divisor to a curve from a smooth fourfold. We prove the exceptional divisor is \Bbb P²bundle or quadric bundle over a smooth curve and the contraction is the blowing up along the curve.

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