Discrete automorphism groups of convex cones of finite type
Geometric Topology
2019-02-20 v2 Metric Geometry
Abstract
We investigate subgroups of SL (n,Z) which preserve an open nondegenerate convex cone in real n-space and admit in that cone as fundamental domain a polyhedral cone of which some faces are allowed to lie on the boundary. Examples are arithmetic groups acting on selfdual cones, Weyl groups of certain Kac-Moody algebras and do occur in algebraic geometry as the automorphism groups of projective manifolds acting on their ample cones.
Keywords
Cite
@article{arxiv.0908.0165,
title = {Discrete automorphism groups of convex cones of finite type},
author = {Eduard Looijenga},
journal= {arXiv preprint arXiv:0908.0165},
year = {2019}
}
Comments
30 pages, to appear in Compositio Math