## Nagoya Mathematical Journal

### Gorenstein resolutions of $3$-dimensional terminal singularities

Takayuki Hayakawa

#### Abstract

Let $X$ be a $3$-dimensional terminal singularity of index $\geq 2$. We shall construct projective birational morphisms $f : Y \to X$ such that $Y$ has only Gorenstein terminal singularities and that $f$ factors the minimal resolution of a general member of $\lvert-K_{X}\rvert$. We also study prime divisors of $f$, especially the discrepancies of these prime divisors.

#### Article information

Source
Nagoya Math. J., Volume 178 (2005), 63-115.

Dates
First available in Project Euclid: 16 August 2005

https://projecteuclid.org/euclid.nmj/1124217072

Mathematical Reviews number (MathSciNet)
MR2145316

Zentralblatt MATH identifier
1081.14003

#### Citation

Hayakawa, Takayuki. Gorenstein resolutions of $3$-dimensional terminal singularities. Nagoya Math. J. 178 (2005), 63--115. https://projecteuclid.org/euclid.nmj/1124217072

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