We construct d-dimensional empty lattice simplices of arbitrarily high volume from (d -1)dimensional ones, while preserving the lattice width. In particular, we give an example of infinitely many empty 4-simplices of width 2.
On the Maximality of Some Conormal Extensions of a Lattice
β Scribed by Mai Gehrke; Klaus Kaiser
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 398 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We investigate the trace form tr : In particular, we study 2-extensions of degree F 16. Using some reduction theorems, these results yield a classification of nearly all trace forms of Galois extensions of degree F 31. Finally, we study the trace form of a cyclotomic extension and of its maximal re
In this paper, first we make a maximal extension of the well-known Gauss-Markov Theorem (GMT) in its linear framework. In particular, the maximal class of distributions of error term for which the GMT holds is derived. Second, we establish a nonlinear version of the maximal GMT and describe some int