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2005 Gorenstein resolutions of $3$-dimensional terminal singularities
Takayuki Hayakawa
Nagoya Math. J. 178: 63-115 (2005).

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.

Citation

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Takayuki Hayakawa. "Gorenstein resolutions of $3$-dimensional terminal singularities." Nagoya Math. J. 178 63 - 115, 2005.

Information

Published: 2005
First available in Project Euclid: 16 August 2005

zbMATH: 1081.14003
MathSciNet: MR2145316

Subjects:
Primary: 14B05

Rights: Copyright © 2005 Editorial Board, Nagoya Mathematical Journal

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