Discrete automorphism groups of convex cones of finite type

Details Discrete automorphism groups of convex cones of finite type Discrete automorphism groups of convex cones of finite type

2009-08-02

arxiv.org/abs/0908.0165v1

Mathematics

Geometric Topology

29 pages

Scientific paper

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.

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