NORMALITY AND QUADRATICITY FOR SPECIAL AMPLE LINE BUNDLES ON TORIC VARIETIES ARISING FROM ROOT SYSTEMS

DOI10.1017/S0017089513000542zbMath1298.14057arXiv1102.4083OpenAlexW2054989687MaRDI QIDQ5397381

Qëndrim R. Gashi, Travis Schedler

Publication date: 20 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4083

zbMATH Keywords

toric varietiesroot systemsprojective normalityquadratic rings

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) Root systems (17B22)

Cites Work

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• On dominance and minuscule Weyl group elements.
• Vanishing results for toric varieties associated to \(\text{GL}_n\) and \(\text{G}_{2}\)
• A local trace formula
• Convergence of Mozes's game of numbers
• The partial order of dominant weights
• Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
• Reachability is decidable in the numbers game
• A combinatorial construction for simply-laced Lie algebras
• Smooth points of \(T\)-stable varieties in \(G\)/\(B\) and the Peterson map
• Minuscule posets from neighbourly graph sequences
• Reflection processes on graphs and Weyl groups
• The numbers game and Coxeter groups
• Strong convergence and a game of numbers
• On normality of the closure of a generic torus orbit in \(G/P\)
• A positivity property of the Satake isomorphism
• Bruhat lattices, plane partition generating functions, and minuscule representations
• Matroids and geometric invariant theory of torus actions on flag spaces
• Lattice polytopes cut out by root systems and the Koszul property
• Introduction to Toric Varieties. (AM-131)
• Normality of torus orbit closures in \(G/P^1\)