On orbits of the automorphism group on an affine toric variety

DOI10.2478/s11533-013-0273-1zbMath1316.14097arXiv1203.2902OpenAlexW3101299337MaRDI QIDQ386371

Ivan Bazhov, Ivan V. Arzhantsev

Publication date: 9 December 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2902

zbMATH Keywords

automorphismtoric varietyquotientCox ringLuna stratification

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Group actions on affine varieties (14R20) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (6)

Geometrical description of orbits of automorphism group of affine toric varieties ⋮ Cohomology rings and algebraic torus actions on hypersurfaces in the product of projective spaces and bounded flag varieties ⋮ Small quotient minimal log discrepancies ⋮ Limit points and additive group actions ⋮ Gale duality and homogeneous toric varieties ⋮ Orbits of the automorphism group of horospherical varieties, and divisor class group

Cites Work

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• Three lectures on Cox rings
• Torsors over Luna strata
• Sous-groupes algébriques de rang maximum du groupe de Cremona
• Algebraic theory of locally nilpotent derivations

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