COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES

DOI10.1017/S0017089515000221zbMath1342.14078arXiv1301.2633OpenAlexW2963496389MaRDI QIDQ2806138

Maria Donten-Bury

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2633

zbMATH Keywords

toric varietyminimal resolutionCox ringsurface quotient singularity

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Surfaces and higher-dimensional varieties (14J99) Group actions on affine varieties (14R20) Hypersurfaces and algebraic geometry (14J70)

Related Items

ON SMOOTHNESS OF MINIMAL MODELS OF QUOTIENT SINGULARITIES BY FINITE SUBGROUPS OF SL_n(ℂ) ⋮ Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes ⋮ Iteration of Cox rings of klt singularities ⋮ Crepant Resolutions of 3-Dimensional Quotient Singularities via Cox Rings ⋮ Non-complete rationalT-varieties of complexity one ⋮ Log terminal singularities, platonic tuples and iteration of Cox rings ⋮ ADE bundles over surfaces

Uses Software

• GAP

Cites Work

• On Kummer 3-folds
• The Cox ring of an algebraic variety with torus action
• A survey on Cox rings
• Equivariant completion. II
• Die Invarianten der endlichen Untergruppen von GL(2,C)
• Shafarevich maps and plurigenera of algebraic varieties
• Open subsets of projective spaces with a good quotient by an action of a reductive group
• Equivariant completion
• On the Kummer construction
• Rationale Singularitäten komplexer Flächen
• Cox Rings
• Cox rings and combinatorics
• Invariants of finite groups and their applications to combinatorics