Discrete automorphism groups of convex cones of finite type

DOI10.1112/S0010437X14007404zbMath1314.52015arXiv0908.0165MaRDI QIDQ2935411

Eduard Looijenga

Publication date: 29 December 2014

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0165

zbMATH Keywords

convex conearithmetic group

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Automorphism groups of lattices (11H56)

Related Items

Remarks on nef and movable cones of hypersurfaces in Mori dream spaces, Faces of highest weight modules and the universal Weyl polyhedron, Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations, Finiteness of real structures on KLT Calabi-Yau regular smooth pairs of dimension 2, Nef cones of fiber products and an application to the cone conjecture, Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces, Fano manifolds of indexn− 2 and the cone conjecture, The cone conjecture for some rational elliptic threefolds, The cone conjecture for Calabi-Yau pairs in dimension 2, Automorphism groups of certain Enriques surfaces, Finiteness of Klein actions and real structures on compact hyperkähler manifolds, The stable cohomology of the Satake compactification of \(\mathcal A_g\)

Cites Work

• Periods of Enriques surfaces
• Finiteness results for algebraic K3 surfaces
• The cone conjecture for Calabi-Yau pairs in dimension 2
• Invariant theory for generalized root systems
• Compactification of arithmetic quotients of bounded symmetric domains