Divisorial contractions in dimension three which contract divisors to compound A₁ points

2000/10/22 by Masayuki Kawakita, Kawakita, Masayuki · 2 citations
Mathematics · #14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E30

paper · pdf · doi:10.48550/arxiv.math/0010207

23 pages

arxiv created 2000/10/22 · arxiv updated 2009/11/30

Abstract

We deal with a divisorial contraction in dimension 3 which contracts its exceptional divisor to a cA₁ point. We prove that any such contraction is obtained by a suitable weighted blow-up.

Cited by

• Local inequalities for cA_k singularities
• A survey on birational Rigidity of threefold Weighted Complete Intersections

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