## Kyoto Journal of Mathematics

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

Yuki Yamamoto

#### 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
Accepted: 17 October 2016
First available in Project Euclid: 12 June 2018

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)

#### 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

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