Polarized complexity-1 T-varieties

DOI10.1307/mmj/1320763049zbMath1230.14075arXiv0910.5919OpenAlexW3106404111MaRDI QIDQ654927

Hendrik Süss, Nathan Owen Ilten

Publication date: 28 December 2011

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

Full work available at URL: https://arxiv.org/abs/0910.5919

zbMATH Keywords

polyhedral divisorT-varietydivisorial polytopes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (14)

Almost-toric hypersurfaces ⋮ Deformations of rational 𝑇-varieties ⋮ Chow groups and pseudoffective cones of complexity-one \(T\)-varieties ⋮ Exceptional sequences on rational \({\mathbb{C}^{*}}\)-surfaces ⋮ Upgrading and downgrading torus actions ⋮ Fujita's freeness conjecture for \(T\)-varieties of complexity one ⋮ Euler sequence for complete smooth \(\mathbb{K}^\ast\)-surfaces ⋮ Hadamard products of linear spaces ⋮ Cox rings of rational complexity-one \(T\)-varieties ⋮ Classifying Fano complexity-one \(T\)-varieties via divisorial polytopes ⋮ Decomposition theorem and torus actions of complexity one ⋮ Flexible affine cones and flexible coverings ⋮ Infinite transitivity on universal torsors ⋮ Rational Complexity-One $\boldsymbol{T}$-Varieties Are Well-Poised

Cites Work

• Unnamed Item
• Torus invariant divisors
• Gluing affine torus actions via divisorial fans
• A fansy divisor on \(\overline {M}_{0,n}\)
• Varieties Defined by Quadratic Equations

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