2004/06/16 by Philip Foth, Yi Hu, Foth, Philip +1 · 2 citations
Mathematics · #14L24 #14M25 #37J35 #52B20 #53D20 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14L24 #msc:14M25 #msc:37J35 #msc:52B20 #msc:53D20
paper · pdf · doi:10.48550/arxiv.math/0406329
17 pages
openalex publication_date 2004/06/16 · arxiv created 2004/06/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that a weight variety, which is a quotient of a flag variety by the maximal torus, admits a flat degeneration to a toric variety. In particular, we show that the moduli spaces of spatial polygons degenerate to polarized toric varieties with the moment polytopes defined by the lengths of their diagonals. We extend these results to more general Flaschka-Millson hamiltonians on the quotients of products of projective spaces. We also study boundary toric divisors and certain real loci.