On orbits of the automorphism group on a complete toric variety

DOI10.1007/s13366-011-0084-0zbMath1327.14224arXiv1110.4275OpenAlexW3105362385MaRDI QIDQ375911

Ivan Bazhov

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4275

zbMATH Keywords

automorphismtoric varietyconvex geometrygroup actions on varieties

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Compactifications; symmetric and spherical varieties (14M27)

Related Items (9)

Commutative actions on smooth projective quadrics ⋮ On orbits of the automorphism group on an affine toric variety ⋮ Geometrical description of orbits of automorphism group of affine toric varieties ⋮ Additive group actions on affine \(\mathbb{T}\)-varieties of complexity one in arbitrary characteristic ⋮ On a notion of toric special linear systems ⋮ Gale duality and homogeneous toric varieties ⋮ Homogeneous algebraic varieties and transitivity degree ⋮ Orbits of the automorphism group of horospherical varieties, and divisor class group ⋮ Euler-symmetric projective toric varieties and additive actions

Cites Work

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• Complete toric varieties with reductive automorphism group
• Polytopal linear groups
• Introduction to Toric Varieties. (AM-131)
• Homogeneous toric varieties
• Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
• Sous-groupes algébriques de rang maximum du groupe de Cremona

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