Toric orbifolds associated to Cartan matrices

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Jul 2015Embargo end date: 01 Oct 2011 English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 65, pages 863-901 (eissn: 1777-5310,

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Authors: Blume, Mark;

doi: 10.5802/aif.2946 , 10.48550/arxiv.1110.2761

arXiv: 1110.2761

Toric orbifolds associated to Cartan matrices

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Abstract

We investigate moduli stacks of pointed chains of ℙ 1 related to the Losev-Manin moduli spaces and show that these moduli stacks coincide with certain toric stacks which can be described in terms of the Cartan matrices of root systems of type A . We also consider variants of these stacks related to root systems of type B and C .

Keywords

root systems, toric stacks, Cartan matrices, Losev-Manin moduli spaces, Mathematics - Algebraic Geometry, FOS: Mathematics, Stacks and moduli problems, Families, moduli of curves (algebraic), Toric varieties, Newton polyhedra, Okounkov bodies, permutohedron, Algebraic Geometry (math.AG)

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