3 problems

Let $X_d$ be the space of lattices, let $\mathcal{WR}_d$ denote the set of well-rounded lattices, and consider the covering-radius condition from the source: for every…

Let $X_d$ be the space of lattices under consideration, let $A$ be the group acting on $X_d$, and let $\mu=\operatorname{CovRad}_N$ be the covering radius associated with…

Let $X_d$ be the space of lattices, and call a lattice stable when all of its subgroups have covolume at least $1$. Let the conditions of the preceding lemma be the covering-radius…