On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32

DOI10.1215/21562261-3821846zbMath1390.14048arXiv1409.4204OpenAlexW1601433501MaRDI QIDQ2359438

Maria Donten-Bury, Jarosław A. Wiśniewski

Publication date: 28 June 2017

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

Full work available at URL: https://arxiv.org/abs/1409.4204

zbMATH Keywords

quotient singularitysymplectic manifoldsymplectic resolutionCox ring

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (6)

ON SMOOTHNESS OF MINIMAL MODELS OF QUOTIENT SINGULARITIES BY FINITE SUBGROUPS OF SL_n(ℂ) ⋮ Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 1--7, 2022 ⋮ Crepant Resolutions of 3-Dimensional Quotient Singularities via Cox Rings ⋮ Counting resolutions of symplectic quotient singularities ⋮ Computing resolutions of quotient singularities ⋮ Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution

Uses Software

• Macaulay2
• SageMath
• SINGULAR
• MDSpackage
• gitfan.lib

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