Advanced Studies in Pure Mathematics

Explicit resolution of three dimensional terminal singularities

Jungkai Alfred Chen

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Abstract

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

Source
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

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

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1538622711

Digital Object Identifier
doi:10.2969/aspm/07010323

Mathematical Reviews number (MathSciNet)
MR3618265

Zentralblatt MATH identifier
1369.14021

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

Citation

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. https://projecteuclid.org/euclid.aspm/1538622711


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