J. Martinet

collaborators

2 papers

math.NT2024

Families of Equiangular Lines and Lattices

Jacques Martinet

We construct Euclidean lattices whose sets of minimal vectors support some large equiangular families of lines, using notably reduction modulo~ $2$ of lattices. %as considered in \c…

math.KT2019

Voronoi complexes in higher dimensions, cohomology of $G L_{N} (Z)$ for $N \geq 8$ and the triviality of $K_{8} (Z)$

Mathieu Dutour Sikirić, Philippe Elbaz-Vincent, Alexander Kupers +1

We enumerate the low dimensional cells in the Voronoi cell complexes attached to the modular groups $S L_{N} (Z)$ and $G L_{N} (Z)$ for $N = 8, 9, 10, 11$ , using quotient sublattices techniques…

Families of Equiangular Lines and Lattices

Voronoi complexes in higher dimensions, cohomology of GLN​(Z) for N≥8 and the triviality of K8​(Z)

Voronoi complexes in higher dimensions, cohomology of $G L_{N} (Z)$ for $N \geq 8$ and the triviality of $K_{8} (Z)$