Gorenstein resolutions of $3$-dimensional terminal singularities
Takayuki Hayakawa
Source: Nagoya Math. J. Volume 178
(2005), 63-115.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.nmj/1124217072
Mathematical Reviews number (MathSciNet): MR2145316
Zentralblatt MATH identifier: 1081.14003
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Digital Object Identifier: doi:10.1007/BF02362335
Nagoya Mathematical Journal
