Fujiki-Oka resolution for three-dimensional cyclic quotient singularities via binary trees

DOI10.3836/tjm/1502179354OpenAlexW4213074357MaRDI QIDQ2165824

Yusuke Sato

Publication date: 23 August 2022

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179354

zbMATH Keywords

toric varietybinary treecrepant resolutionquotient singularitymultidimensional continued fractions

Mathematics Subject Classification ID

Trees (05C05) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) McKay correspondence (14E16)

Cites Work

• Terminal quotient singularities in dimension three via variation of GIT
• Über vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. (On four-dimensional Riemann surfaces of many-valued analytic functions of two complex variables)
• Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums
• On resolutions of cyclic quotient singularities
• Certain invariant subrings are Gorenstein. I
• Crepant property of Fujiki-Oka resolutions for Gorenstein abelian quotient singularities
• Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums
• Introduction to Toric Varieties. (AM-131)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fujiki-Oka resolution for three-dimensional cyclic quotient singularities via binary trees