On the arithmetic and geometry of spaces $L_{m+1,n}$

Michel Matignon, Guillaume Pagot, Daniele Turchetti

Let $p$ be a prime number. Motivated by the local lifting problem for $(\mathbb{Z}/p\mathbb{Z}{)}^n$ with $n>1$, we prove several new results on certain ${\mathbb{F}}_p$-vector spaces…