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arXiv · 1608.08581

Infinite type toric varieties and Voronoi Tilings

Pablo Solis
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Abstract

An infinite type toric variety is a normal toric variety given by a fan with infinitely many cones. We construct examples in this paper coming from representation theory of loop groups. The fans that appear are cones on Voronoi tilings on a vector space equipped with an inner product. We also explain the affine analogue of the connection between a generic torus orbit closure in a flag variety and the closure a maximal torus in the wonderful compactification.

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Pablo Solis. 2016-08-30. Infinite type toric varieties and Voronoi Tilings. https://arxiv.org/abs/1608.08581

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