On the divisorial contractions to curves of threefolds

2024/11/25 by Chen, Hsin-Ku, Chen, Jheng-Jie, Chen, Jungkai A.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.16146

Abstract

We prove that each divisorial contraction to a curve between terminal threefolds is a weighted blow-up under a suitable embedding. Moreover, we give a classification of the weighted blow-ups assuming that the curve is smooth.

Related

• Factoring 3-fold flips and divisorial contractions to curves
• Supplement to classification of three-fold divisorial contractions
• Birational maps of 3-folds
• Divisorial contractions of 3-folds
• Factoring threefold divisorial contractions to points