Local cohomology of modular invariant rings

Kriti Goel, Jack Jeffries, Anurag K. Singh

For $K$ a field, consider a finite subgroup $G$ of ${\mathrm{GL}}_n(K)$ with its natural action on the polynomial ring $R:=K[x_1,\dots ,x_n]$. Let $\mathfrak{n}$ denote the homo…