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June 2022 Fujiki-Oka Resolution for Three-dimensional Cyclic Quotient Singularities via Binary Trees
Yusuke Sato
Tokyo J. Math. 45(1): 69-87 (June 2022). DOI: 10.3836/tjm/1502179354

Abstract

For three dimensional cyclic quotient singularities of type 1r(1,a,ra1) (resp. type 1r(1,a,ra)), the Fujiki-Oka resolution coincides with one of crepant resolutions (resp. an economic resolution). In this paper, we will characterize binary trees which gives the Fujiki-Oka resolution for the above two series of cyclic quotient singularities.

Citation

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Yusuke Sato. "Fujiki-Oka Resolution for Three-dimensional Cyclic Quotient Singularities via Binary Trees." Tokyo J. Math. 45 (1) 69 - 87, June 2022. https://doi.org/10.3836/tjm/1502179354

Information

Received: 26 June 2020; Revised: 19 May 2021; Published: June 2022
First available in Project Euclid: 21 February 2022

Digital Object Identifier: 10.3836/tjm/1502179354

Subjects:
Primary: 14J17
Secondary: 05C05 , 14B05 , 14E16 , 14M25

Keywords: Binary tree , crepant resolution , multidimensional continued fractions , quotient singularity , toric variety

Rights: Copyright © 2022 Publication Committee for the Tokyo Journal of Mathematics

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Vol.45 • No. 1 • June 2022
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