Singularities of Cox rings of Fano varieties
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Publication:387976
DOI10.1016/j.matpur.2012.10.003zbMath1432.14013arXiv1109.6368OpenAlexW2088454544MaRDI QIDQ387976
Publication date: 18 December 2013
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.6368
Elliptic curves over global fields (11G05) Rational and birational maps (14E05) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20)
Related Items (9)
Gorensteinness and iteration of Cox rings for Fano type varieties ⋮ Potentially non-klt locus and its applications ⋮ Characterization of varieties of Fano type via singularities of Cox rings ⋮ Asymptotically log Fano varieties ⋮ Iteration of Cox rings of klt singularities ⋮ Log terminal singularities, platonic tuples and iteration of Cox rings ⋮ A geometric characterization of toric varieties ⋮ Hilbert functions of Cox rings of del Pezzo surfaces ⋮ Flexible affine cones and flexible coverings
Cites Work
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- Globally \(F\)-regular and log Fano varieties
- The Cox ring of an algebraic variety with torus action
- Cyclic covers of normal graded rings
- Multi-cones over Schubert varieties
- The total coordinate ring of a normal projective variety
- Cox rings and pseudoeffective cones of projectivized toric vector bundles
- Mori dream spaces of Calabi-Yau type and log canonicity of Cox rings
- Characterization of varieties of Fano type via singularities of Cox rings
- Hyper-Kähler fourfolds and Grassmann geometry
- Hilbert's 14th problem and Cox rings
- Existence of minimal models for varieties of log general type
- Some remarks concerning Demazure’s construction of normal graded rings
- Mori dream spaces and GIT.
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