Cox rings of rational complexity-one \(T\)-varieties

DOI10.1016/j.jpaa.2011.12.018zbMath1251.14032arXiv1009.0478OpenAlexW2963339108MaRDI QIDQ436098

Lars Petersen, Klaus Altmann

Publication date: 30 July 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0478

zbMATH Keywords

toric varietiesMori dream spacecox ring

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Special varieties (14M99) Coverings of curves, fundamental group (14H30)

Related Items (8)

$F$-split and $F$-regular varieties with a diagonalizable group action ⋮ Chow groups and pseudoffective cones of complexity-one \(T\)-varieties ⋮ Upgrading and downgrading torus actions ⋮ Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes ⋮ Iteration of Cox rings of klt singularities ⋮ Classification of Hamiltonian torus actions with two-dimensional quotients ⋮ Log terminal singularities, platonic tuples and iteration of Cox rings ⋮ Rational Complexity-One $\boldsymbol{T}$-Varieties Are Well-Poised

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upgrading and downgrading torus actions
• Torus invariant divisors
• Polarized complexity-1 T-varieties
• Polyhedral divisors and algebraic torus actions
• Gluing affine torus actions via divisorial fans
• The Cox ring of an algebraic variety with torus action
• Normal singularities with torus actions
• Polyhedral divisors of Cox rings
• A fansy divisor on \(\overline {M}_{0,n}\)
• Deformations of rational 𝑇-varieties
• Cox rings and combinatorics
• Mori dream spaces and GIT.

This page was built for publication: Cox rings of rational complexity-one \(T\)-varieties