Infinite type toric varieties and Voronoi Tilings
Algebraic Geometry
2016-08-31 v1
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.
Keywords
Cite
@article{arxiv.1608.08581,
title = {Infinite type toric varieties and Voronoi Tilings},
author = {Pablo Solis},
journal= {arXiv preprint arXiv:1608.08581},
year = {2016}
}
Comments
13 pages