## Kyoto Journal of Mathematics

- Kyoto J. Math.
- Volume 58, Number 3 (2018), 529-567.

### Divisorial contractions to $cDV$ points with discrepancy greater than $1$

#### Abstract

We study $3$-dimensional divisorial contractions to $cDV$ points with discrepancy greater than $1$ which are of exceptional type. We show that every $3$-dimensional divisorial contraction is obtained as a weighted blowup.

#### Article information

**Source**

Kyoto J. Math., Volume 58, Number 3 (2018), 529-567.

**Dates**

Received: 7 July 2015

Accepted: 17 October 2016

First available in Project Euclid: 12 June 2018

**Permanent link to this document**

https://projecteuclid.org/euclid.kjm/1528790514

**Digital Object Identifier**

doi:10.1215/21562261-2017-0028

**Mathematical Reviews number (MathSciNet)**

MR3843389

**Zentralblatt MATH identifier**

06959090

**Subjects**

Primary: 14E05: Rational and birational maps

Secondary: 14E30: Minimal model program (Mori theory, extremal rays)

**Keywords**

divisorial contraction terminal singularity $cDV$ point

#### Citation

Yamamoto, Yuki. Divisorial contractions to $cDV$ points with discrepancy greater than $1$. Kyoto J. Math. 58 (2018), no. 3, 529--567. doi:10.1215/21562261-2017-0028. https://projecteuclid.org/euclid.kjm/1528790514