3 results
Discrete automorphism groups of convex cones of finite type
- Part of
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- Journal:
- Compositio Mathematica / Volume 150 / Issue 11 / November 2014
- Published online by Cambridge University Press:
- 10 September 2014, pp. 1939-1962
- Print publication:
- November 2014
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We investigate subgroups of
$\text{SL}(n,\mathbb{Z})$ which preserve an open nondegenerate convex cone in 
$\mathbb{R}^{n}$ 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 self-dual cones, Weyl groups of certain Kac–Moody algebras, and they do occur in algebraic geometry as the automorphism groups of projective manifolds acting on their ample cones.
Quantifying residual finiteness of arithmetic groups
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- Journal:
- Compositio Mathematica / Volume 148 / Issue 3 / May 2012
- Published online by Cambridge University Press:
- 19 March 2012, pp. 907-920
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- May 2012
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TRANSFORMATION FORMULAS FOR GENERALIZED DEDEKIND ETA FUNCTIONS
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- Journal:
- Bulletin of the London Mathematical Society / Volume 36 / Issue 5 / September 2004
- Published online by Cambridge University Press:
- 24 August 2004, pp. 671-682
- Print publication:
- September 2004
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