2 problems

Let $V$ be a degree-wise coherent ${\mathscr{FI}}_G$-module, let $H^i_\mathfrak{m}(V)$ denote its local cohomology modules, and let $\operatorname{reg}(V)$ and…

Let $G$ be a group. An ${\mathscr{FI}}_G$-module is Noetherian when every submodule of a finitely generated ${\mathscr{FI}}_G$-module is finitely generated. The known result states…