Multigraded Local Cohomology Categories: Homological Structure and Canonical Sources

Dancheng Lu

Let $S=\kk[x_1,\ldots,x_n]$ with its standard ${\mathbb{N}}^n$-grading. For $0\le i<n$, we identify the finite-box local-cohomology category ${\mathcal{H}}_i(\mathbf{t})$ with the represe…