Witaszek, Jakub The degeneration of the Grassmannian into a toric variety and the calculation of the eigenspaces of a torus action. (English) Zbl 1346.14119 J. Algebr. Stat. 6, No. 1, 62-79 (2015). Summary: Using the method of degenerating a Grassmannian into a toric variety, we calculate formulas for the dimensions of the eigenspaces of the action of an \(n\)-dimensional torus on a Grassmannian of planes in an \(n\)-dimensional space. Cited in 3 Documents MSC: 14M25 Toric varieties, Newton polyhedra, Okounkov bodies 14L30 Group actions on varieties or schemes (quotients) 14M15 Grassmannians, Schubert varieties, flag manifolds 14C20 Divisors, linear systems, invertible sheaves Keywords:toric variety; Grassmannian; Poincare-Hilbert series PDF BibTeX XML Cite \textit{J. Witaszek}, J. Algebr. Stat. 6, No. 1, 62--79 (2015; Zbl 1346.14119) Full Text: DOI arXiv