On the divisorial contractions to curves of threefolds

Fuente: arXiv
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Bibliographic Details
Main Authors: Chen, Hsin-Ku, Chen, Jheng-Jie, Chen, Jungkai A.
Format: Preprint
Published: 2024
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author Chen, Hsin-Ku
Chen, Jheng-Jie
Chen, Jungkai A.
author_facet Chen, Hsin-Ku
Chen, Jheng-Jie
Chen, Jungkai A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_16146
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the divisorial contractions to curves of threefolds
Chen, Hsin-Ku
Chen, Jheng-Jie
Chen, Jungkai A.
Algebraic Geometry
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.
title On the divisorial contractions to curves of threefolds
topic Algebraic Geometry
url https://arxiv.org/abs/2411.16146