Minkowski's theorems in completions of A-fields of non-zero characteristic
Minkowskische Reduktionsbedingungen für positiv definite quadratische Formen in 5 Variablen.
Mittelwerte über Gitter.
Modular lattices from finite projective planes
Using the geometry of the projective plane over the finite field , we construct a Hermitian Lorentzian lattice of dimension defined over a certain number ring that depends on . We show that infinitely many of these lattices are -modular, that is, , where is some prime in such that .The Lorentzian lattices sometimes lead to construction of interesting positive definite lattices. In particular, if is a rational prime such that is norm of some element in , then we find a dimensional...
Mordell-Weil lattices in characteristic 2. III: A Mordell-Weil lattice of rank 128.
Multi-covering radius for rank metric codes.
Multidimensional Euclidean algorithms.
Multiple Lattice Packings and Coverings of Spheres.
Multiple tilings by cubes with no shared faces.
Multiple Tilings of n-Dimensional Space by Unit Cubes.
Multiplicative lattices in global fields.
Neuer Beweis eines Minkowskischen Satzes.
New bounds in some transference theorems in the geometry of numbers.
New volume ratio properties for convex sym-metric bodies in IRn.
Nombre de points entiers dans une famille homothétique de domaines de
Non-integer lattice tilings by (k, n) truncated crosses.
Non-Kähler compact complex manifolds associated to number fields
For algebraic number fields with real and complex embeddings and “admissible” subgroups of the multiplicative group of integer units of we construct and investigate certain -dimensional compact complex manifolds . We show among other things that such manifolds are non-Kähler but admit locally conformally Kähler metrics when . In particular we disprove a conjecture of I. Vaisman.
Normal polytopes, triangulations, and Koszul algebras.
Note on a decomposition of integer vectors. II
Note on Lattice-Point-Free Convex Bodies.