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Research Article | Open Access

Minimal resolutions of threefolds

School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Korea
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Abstract

We describe the resolution of singularities of a threefold which has minimal Picard number. We describe the relation between this minimal resolution and an arbitrary resolution of singularities.

Keywords

resolution of singularitiescomplex threefoldsminimal model program

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Electronic Research Archive
Volume 32 Issue 5,
May 2024
Pages 3635-3699
DOI: 10.3934/era.2024167

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Cite this article:
Chen H-K. Minimal resolutions of threefolds. Electronic Research Archive, 2024, 32(5): 3635-3699. https://doi.org/10.3934/era.2024167

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Received: 30 October 2023
Revised: 19 March 2024
Accepted: 30 April 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)