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arXiv · 1209.3689

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 recursive 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. In order to verify our result we compare it with the polynomial describing the Euler characteristic of invertible sheaves on a projective space with four blown-up points.

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Jakub Witaszek. 2012-09-17. The degeneration of the Grassmannian into a toric variety and the calculation of the eigenspaces of a torus action. https://arxiv.org/abs/1209.3689

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