On conjectures of Minkowski and Woods for $n=10$

Leetika Kathuria, Madhu Raka

Let $\mathbb{L}$ be a lattice in $n$-dimensional Euclidean space ${\mathbb{R}}^n$ reduced in the sense of Korkine and Zolotareff and having a basis of the form $(A_1,0,0,\cdots$ $,0…