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- Ernest Vinberg
- 2007

A hyperbolic lattice is said to be 2-reflective if its automorphism group contains a subgroup of finite index generated by 2-reflections. We determine all 2reflective hyperbolic lattices of rank 4.… (More)

- Ernest Vinberg
- 2014

Using the methods of our 2010 paper, we recover the old result of J. Igusa, saying that the algebra of even Siegel modular forms of genus 2 is freely generated by forms of weights 4, 6, 10, 12. We… (More)

We prove noncoherence of certain families of lattices in the isometry group of the hyperbolic n-space for n greater than 3. For instance, every nonuniform arithmetic lattice in SO(n,1) is… (More)

- Ernest Vinberg
- 2003

The hyperbolic 3-manifolds fibered over the circle with fiber a once punctured torus are considered. Surprisingly, in all of about 200 cases, where the class numbers of their trace fields were… (More)

- Michael Kapovich, Leonid Potyagailo, +4 authors Ernest Vinberg
- 2008

The aim of this paper is to prove noncoherence of certain families of lattices in the isometry group Isom.H/ of the hyperbolic n–space H (n > 3). We recall that a group G is called coherent if every… (More)

- Ernest Vinberg
- 2007

- Ernest Vinberg
- 2003

- Ernest Vinberg
- 2003

- Ernest Vinberg
- 2003