Advanced Studies in Pure Mathematics

Explicit resolution of three dimensional terminal singularities

Jungkai Alfred Chen

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We prove that any three dimensional terminal singularity $P \in X$ can be resolved by a sequence of divisorial extractions with minimal discrepancies which are weighted blowups over points.

Article information

Minimal Models and Extremal Rays (Kyoto, 2011), J. Kollár, O. Fujino, S. Mukai and N. Nakayama, eds. (Tokyo: Mathematical Society of Japan, 2016), 323-360

Received: 21 February 2012
Revised: 25 January 2013
First available in Project Euclid: 4 October 2018

Permanent link to this document euclid.aspm/1538622711

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14E30: Minimal model program (Mori theory, extremal rays) 14J17: Singularities [See also 14B05, 14E15]


Chen, Jungkai Alfred. Explicit resolution of three dimensional terminal singularities. Minimal Models and Extremal Rays (Kyoto, 2011), 323--360, Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/aspm/07010323.

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