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2015•Journal of Algebraic StatisticsOpen access

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

Jakub Witaszek

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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.

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What this paper is about

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.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Grassmannian, Torus, Toric variety, Action (physics), Mathematics, Variety (cybernetics), Pure mathematics, Space (punctuation)

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