Gale duality and homogeneous toric varieties

DOI10.1080/00927872.2018.1425411zbMath1400.14107arXiv1701.01985OpenAlexW2573254873MaRDI QIDQ4641500

Ivan V. Arzhantsev

Publication date: 28 May 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01985

zbMATH Keywords

automorphismtoric varietydivisor class groupGale dualityDemazure root

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Actions of groups on commutative rings; invariant theory (13A50) Group actions on affine varieties (14R20) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (1)

Homogeneous algebraic varieties and transitivity degree

Cites Work

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• Equivariant embeddings of commutative linear algebraic groups of corank one
• On orbits of the automorphism group on a complete toric variety
• On orbits of the automorphism group on an affine toric variety
• \(\mathbb G_a\)-actions of fiber type on affine \(\mathbb T\)-varieties
• The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant
• Complete toric varieties with reductive automorphism group
• On embeddings of homogeneous spaces with small boundary
• Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions
• The automorphism group of a variety with torus action of complexity one
• Introduction to Toric Varieties. (AM-131)
• Cox Rings
• 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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