The degeneration of the Grassmannian into a toric variety and the calculation of the eigenspaces of a torus action

Jakub Witaszek

Abstract


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 Grass- mannian of planes in an n-dimensional space. 


Keywords


Toric variety, Grassmannian, Poincare-Hilbert series

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DOI: http://dx.doi.org/10.18409/jas.v6i1.37

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