On the divisorial contractions to curves of threefolds
Algebraic Geometry
2024-11-26 v1
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.
Cite
@article{arxiv.2411.16146,
title = {On the divisorial contractions to curves of threefolds},
author = {Hsin-Ku Chen and Jheng-Jie Chen and Jungkai A. Chen},
journal= {arXiv preprint arXiv:2411.16146},
year = {2024}
}