Deformations of rational 𝑇-varieties

DOI10.1090/S1056-3911-2011-00585-7zbMath1244.14044arXiv0903.1393MaRDI QIDQ2894544

Robert Vollmert, Nathan Owen Ilten

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1393

zbMATH Keywords

toric varietiesdeformationsMinkowski sums

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Deformations of complex structures (32G05) Deformations of singularities (14B07)

Related Items (17)

Deformations of rational 𝑇-varieties ⋮ Full ellipsoid embeddings and toric mutations ⋮ Exceptional sequences on rational \({\mathbb{C}^{*}}\)-surfaces ⋮ Upgrading and downgrading torus actions ⋮ On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties ⋮ Deformations of smooth toric surfaces ⋮ The geometrically nonlinear Cosserat micropolar shear–stretch energy. Part II: Non‐classical energy‐minimizing microrotations in 3D and their computational validation*** ⋮ Coregularity of Fano varieties ⋮ Cox rings of rational complexity-one \(T\)-varieties ⋮ Families of invariant divisors on rational complexity-one \(T\)-varieties ⋮ Toric Landau–Ginzburg models ⋮ Deformations of extremal toric manifolds ⋮ Flexible affine cones and flexible coverings ⋮ Homogeneous deformations of toric pairs ⋮ On singular log Calabi-Yau compactifications of Landau-Ginzburg models ⋮ Deformations of smooth complete toric varieties: obstructions and the cup product ⋮ Rational Complexity-One $\boldsymbol{T}$-Varieties Are Well-Poised

Cites Work

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• Polarized complexity-1 T-varieties
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• Deformations of Calabi-Yau hypersurfaces arising from deformations of toric varieties
• Minkowski sums and homogeneous deformations of toric varieties
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• Embedding of Calabi-Yau deformations into toric varieties
• Deformations of rational 𝑇-varieties
• Deformations of Algebraic Schemes
• One-parameter families containing three-dimensional toric Gorenstein singularities

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