44 citations · 182 across the 28 of their papers we have counts for
4 papers · 1 filter
On the cohomology of linear groups over imaginary quadratic fields
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke +3
Let Gamma be the group GL_N (OO_D), where OO_D is the ring of integers in the imaginary quadratic field with discriminant D<0. In this paper we investigate the cohomology of Gamma…
Inhomogeneous extreme forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
G.F. Voronoi (1868-1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a ch…
Delaunay polytopes derived from the Leech lattice
Mathieu Dutour Sikiric, Konstantin Rybnikov
Given a lattice L of R^n, a polytope D is called a Delaunay polytope in L if the set of its vertices is S\cap L where S is a sphere having no lattice points in its interior. D is c…
Classification of eight dimensional perfect forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here w…