Equivariant compactification of a torus (after Brylinski and Künnemann)

DOI10.1016/j.exmath.2005.01.016zbMath1078.14076OpenAlexW2022469296WikidataQ57395849 ScholiaQ57395849MaRDI QIDQ2486128

David Harari, Alexei N. Skorobogatov, Jean-Louis Colliot-Thélène

Publication date: 5 August 2005

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2005.01.016

zbMATH Keywords

toric varietyfansmooth compactification

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (26)

Problems about torsors over regular rings ⋮ Motivic decomposition of compactifications of certain group varieties ⋮ Twisted forms of toric varieties ⋮ Unbranched cohomology of degree 3: cellular variances and del Pezzo surfaces of degree at least 5 ⋮ On the equation N _{K /k} (Ξ)=P (t ) ⋮ Norm one Tori and Hasse norm principle ⋮ On analogs of Cassels-Tate's exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fields ⋮ Equivariant Burnside groups and toric varieties ⋮ On unramified Brauer groups of torsors over tori ⋮ On Galois cohomology of semisimple groups over local and global fields of positive characteristic. III ⋮ Algebraic tori as Nisnevich sheaves with transfers ⋮ Toric varieties and spherical embeddings over an arbitrary field ⋮ Fonction zêta des hauteurs des variétés toriques non déployées ⋮ Arithmetic toric varieties ⋮ On Albanese torsors and the elementary obstruction ⋮ Norms as products of linear polynomials ⋮ Polyhedral divisors and torus actions of complexity one over arbitrary fields ⋮ Incompressibility of generic torsors of norm tori ⋮ The Hardy–Littlewood conjecture and rational points ⋮ \(R\)-equivalence on families of rational varieties and the descent method ⋮ Lois de réciprocité supérieures et points rationnels ⋮ Permutation modules and Chow motives of geometrically rational surfaces ⋮ Formal geometric quantization ⋮ Specialization of birational types ⋮ On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic ⋮ Norm one tori and Hasse norm principle. II: Degree 12 case

Cites Work

• Toroidal embeddings. I
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Equivariant resolution of singularities in characteristic 0
• THE GEOMETRY OF TORIC VARIETIES
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