Jacques Martinet

activity

20122019

collaborators

3 papers

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…

math.NT2014

Hermite versus Minkowski

Jacques Martinet

We compare for an $n$ -dimensional Euclidean lattice $\Lb$ the smallest possible values of the product of the norms of $n$ ~vectors which either constitute a basis for $\Lb$ (Hermite…

math.NT2012

On the index system of well-rounded lattices

Jacques Martinet

Let $\Lb$ be a lattice in an $n$ -dimensional Euclidean space $E$ and let $\Lb'$ be a Minkowskian sublattice of $\Lb$, that is, a sublattice having a basis made of representatives f…

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

Hermite versus Minkowski

On the index system of well-rounded lattices

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