Polytopal linear groups

DOI10.1006/jabr.1998.7831zbMath0943.20067OpenAlexW2000310125MaRDI QIDQ1306911

Joseph Gubeladze, Winfried Bruns

Publication date: 20 December 1999

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

Full work available at URL: https://semanticscholar.org/paper/0c3f88dbd78fa0b9c3a349f282c1d3d5894a2be9

zbMATH Keywords

lattice pointsautomorphism groupssemigroup algebrasgraded automorphismsnormal forms of elementshomogeneous elementsprojective toric varieties

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) Ordinary and skew polynomial rings and semigroup rings (16S36) Actions of groups on commutative rings; invariant theory (13A50) Other geometric groups, including crystallographic groups (20H15) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (12)

Complete toric varieties with reductive automorphism group ⋮ Twisted forms of toric varieties ⋮ Cohomology of partially ordered sets and local cohomology of section rings ⋮ On orbits of the automorphism group on a complete toric variety ⋮ Non-normal very ample polytopes and their holes ⋮ On Transformations of <i>A</i>-Hypergeometric Functions ⋮ Higher polyhedral \(K\)-groups ⋮ Algebra retracts and Stanley-Reisner rings ⋮ Polytopal linear retractions ⋮ Commutator automorphisms of formal power series rings ⋮ Polytopal Linear Groups and Balanced 3-Polytopes ⋮ On toric geometry and K-stability of Fano varieties

Cites Work

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• Determinantal rings
• Hilbert functions of graded algebras
• Introduction to Toric Varieties. (AM-131)
• THE GEOMETRY OF TORIC VARIETIES
• Krull Semigroups and Divisor Class Groups
• Sous-groupes algébriques de rang maximum du groupe de Cremona

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