## Journal of the Mathematical Society of Japan

### Divisorial contractions to 3-dimensional terminal singularities with discrepancy one

Takayuki HAYAKAWA

#### Abstract

We study a divisorial contraction $\pi : Y \to X$ such that $\pi$ contracts an irreducible divisor $E$ to a point $P$ and that the discrepancy of $E$ is $1$ when $P \in X$ is a $3$-dimensional terminal singularity of type (cD/2) and (cE/2).

#### Article information

Source
J. Math. Soc. Japan, Volume 57, Number 3 (2005), 651-668.

Dates
First available in Project Euclid: 14 September 2006

https://projecteuclid.org/euclid.jmsj/1158241927

Digital Object Identifier
doi:10.2969/jmsj/1158241927

Mathematical Reviews number (MathSciNet)
MR2139726

Zentralblatt MATH identifier
1083.14013

#### Citation

HAYAKAWA, Takayuki. Divisorial contractions to 3-dimensional terminal singularities with discrepancy one. J. Math. Soc. Japan 57 (2005), no. 3, 651--668. doi:10.2969/jmsj/1158241927. https://projecteuclid.org/euclid.jmsj/1158241927

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