Iteration of Cox rings of klt singularities

DOI10.1112/topo.12321arXiv2103.13524OpenAlexW3138814214MaRDI QIDQ6121051

Joaquín Moraga, Lukas Braun

Publication date: 26 March 2024

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13524

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Cites Work

• Singularities of Cox rings of Fano varieties
• Cox rings of rational complexity-one \(T\)-varieties
• The Cox ring of a complexity-one horospherical variety
• Computing resolutions of quotient singularities
• Polyhedral divisors and algebraic torus actions
• On smooth Fano fourfolds of Picard number two
• Compactification for essentially finite-type maps
• The Cox ring of an algebraic variety with torus action
• A survey on Cox rings
• On linearizing algebraic torus actions
• Schema de Picard local
• On graded rings. II: \(\mathbb{Z}\)-graded rings
• Two two-dimensional terminations
• Log terminal singularities, platonic tuples and iteration of Cox rings
• On iteration of Cox rings
• Equations of \(\overline{M}_{0,n}\)
• On monoid graded local rings.
• Factorially graded rings and Cox rings
• Normal singularities with torus actions
• The local fundamental group of a Kawamata log terminal singularity is finite
• Gorensteinness and iteration of Cox rings for Fano type varieties
• The Jordan property for local fundamental groups
• Cox rings of \(K3\) surfaces of Picard number three
• The fundamental group of a log terminal \(\mathbb{T}\)-variety
• Cox rings of cubic surfaces and Fano threefolds
• Mori dream stacks
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Vector bundles over affine surfaces birationally equivalent to a ruled surface
• On Terminal Fano 3-Folds with 2-Torus Action
• COX RINGS OF MINIMAL RESOLUTIONS OF SURFACE QUOTIENT SINGULARITIES
• Characterization of varieties of Fano type via singularities of Cox rings
• Cox rings of du Val singularities
• Orbifoldes géométriques spéciales et classification biméromorphe des variétés kählériennes compactes
• Cox Rings
• A software package for Mori dream spaces
• Computing Cox rings
• Cox rings, semigroups and automorphisms of affine algebraic varieties
• On Cox rings of K3 surfaces
• Existence of minimal models for varieties of log general type
• The Cox ring of $\overline {M}_{0,6}$
• Divisorenklassengruppen quasihomogener Singularitäten.
• Solutions d'équations à coefficients dans un anneau hensélien
• Geometric Invariant Theory
• The geometry of <var>T</var>-varieties
• Fano-type surfaces with large cyclic automorphisms
• Crepant Resolutions of 3-Dimensional Quotient Singularities via Cox Rings
• Mori dream spaces and GIT.
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